For a comprehensive bibliography, see:

Smith, Richard C. 1999. The Writings of Harold E. Palmer: An Overview. Tokyo: Hon-no-Tomosha.

Quite a few works by Palmer are now accessible to read online via 'Open Library': search for 'Palmer, Harold E.'

One early and very rare work is among these: Palmer's Manuel d'anglais parléLink opens in a new window (1913). Two later, major works also available to read online are The Principles of Language-Study Link opens in a new window(1921) and The Oral Method of Teaching LanguagesLink opens in a new window (1921). This Language-Learning Business (1932/1969), compiled with H.V. Redman and containing a biographical essay by Palmer's daughter Dorothée, is an accessible introduction, made available via ERIC. English through Actions (1925), written with Dorothée Palmer, is also now available online.

The Warwick ELT Archive has copies of the following books by Harold E. Palmer (some of them reprinted within the Tokyo-published 10-volume set of Selected Writings (IRLT 1995/1999) pictured here):

 

Palmer, H. E. (1917). A First Course in English Phonetics, including an Explanation of the Scope of the Science of Phonetics, the Theory of Sounds, a Catalogue of English Sounds and a Number of Articulation, Pronunciation and Transcription Exercises. Cambridge, Heffer and Sons.

Palmer, H. E. (1917). The Scientific Study and Teaching of Languages: A Review of the Factors and Problems Connected with the Learning and Teaching of Modern Languages with an Analysis of the Various Methods which may be Adopted in order to Attain Satisfactory Results. London, Harrap.

Palmer, H. E. (1921). The Oral Method of Teaching Languages: A Monograph on Conversational Methods together with a Full Description and Abundant Examples of Fifty Appropriate Forms of Work. Cambridge, Heffer and Sons.

Palmer, H. E. (1921). The Principles of Language-study. London, Harrap.

Palmer, H. E. (1922). Everyday Sentences in Spoken English, with Phonetic Transcription and Intonation Marks (for the Use of Foreign Students). Cambridge, Heffer and Sons.

Palmer, H. E. (1923). Colloquial English. Part 1. 100 Substitution Tables. (3rd Edition). Cambridge, Heffer and Sons.

Palmer, H. E. (1924). A Grammar of Spoken English, on a Strictly Phonetic Basis. Cambridge, Heffer and Sons.

Palmer, H. E. (1924). Memorandum on Problems of English Teaching in the Light of a New Theory. Tokyo, Institute for Research in English Teaching.

Palmer, H. E. (1925). The Principles of English Phonetic Notation. Tokyo, Institute for Research in English Teaching.

Palmer, H. E. (1925). Progressive Exercises in the English Phones. Tokyo, Institute for Research in English Teaching.

Palmer, H. E. (1925). Systematic Exercises in English Sentence-Building. Stage II. Tokyo, Institute for Research in English Teaching.

Palmer, H. E. (1926). English through Questions and Answers. Book I (Part I). Corresponding to Book I, Part I of the Readers. Tokyo, Institute for Research in English Teaching.

Palmer, H. E. (1926). English through Questions and Answers. Book II (Part I). Tokyo, Institute for Research in English Teaching.

Palmer, H. E. (1926). Graded Exercises in English Composition. Book I (Part II). Corresponding to the Book I (Part II) of the Standard English Readers. Tokyo, Institute for Research in English Teaching

Kennard, J. S. and H. E. Palmer (1926). Thinking in English. (7th Edition). Tokyo, Institute for Research in English Teaching.

Palmer, H. E. (1927). The Five Speech-learning Habits. Tokyo, Institute for Research in English Teaching.

Palmer, H. E. (1927). Graded Exercises in English Composition. Book II (Part I). Corresponding to the Book II (Part I) of the Standard English Readers. Tokyo, Institute for Research in English Teaching.

Palmer, H. E. (1927). Graded Exercises in English Composition. Book II (Part II). Corresponding to Book II (Part II) of the Standard English Readers. Tokyo, Institute for Research in English Teaching.

Palmer, H. E. (1927). The Reformed English Teaching. Tokyo, Institute for Research in English Teaching.

Palmer, H. E. (1927). Some Specimens of English Phonetic Transcription (with Intonation and Key). Tokyo, Institute for Research in English Teaching.

Palmer, H. E. (1927). Specimen of One Complete Unit in the Reader System. Tokyo, Institute for Research in English Teaching.

Palmer, H. E. (1928). A First Course of English Phonetics, including an Explanation of the Scope of the Science of Phonetics, the Theory of Sounds, a Catalogue of English Sounds and a Number of Articulation, Pronunciation and Transcription Exercises. (2nd Edition). Cambridge, Heffer and Sons.

Palmer, H. E. (1928). The Language Study Library. Concerning Pronunciation. Tokyo, Institute for Research in English Teaching.

Palmer, H. E. (1929). The First Six Weeks of English. Tokyo, Institute for Research in English Teaching.

Palmer, H. E. (1931). The Technique of Question-answering. Tokyo, Institute for Research in English Teaching.

Palmer, H. E. (1932). On Learning to Read Foreign Languages: A Memorandum. Tokyo, Institute for Research in English Teaching.

Palmer, H. E. (1933). Second Interim Report on English Collocations, Submitted to the Tenth Annual Conference of English Teachers under the Auspices of the Institute for Research in English Teaching. Tokyo, Institute for Research in English Teaching.

Palmer, H. E. (1934). The Grading and Simplifying of Literary Material. Tokyo, Institute for Research in English Teaching.

Palmer, H. E. (1934). The Institute for Research in English Teaching: its History and Work. Tokyo, Institute for Research in English Teaching.

Palmer, H. E. (1936). Conversational English. Tokyo, Kaitakusha.

Faucett, L.W., H.E. Palmer, et al. (1936). Interim Report on Vocabulary Selection for the Teaching of English as a Foreign Language. London, King. [Introduction and extract in Selected Writings.]

Palmer, H. E. (1938). A Grammar of English Words: One Thousand English Words and their Pronunciation, together with Information concerning the Several Meanings of Each Word, its Inflections and Derivatives, and the Collocations and Phrases into which it Enters. London, Longmans, Green.

Palmer, H. E. (1938). The New Method Grammar. London, Longmans, Green.

Palmer, H. E. ([c.1938]). How to Use the New Method Grammar. A Teacher’s Handbook. London, Longmans, Green.

Palmer, H. E. (1938). New Method Series. English Practice Books. Book I. Elementary Oral Exercises. London, Longmans, Green.

Palmer, H. E. (1938). New Method Series. English Practice Books. Book II. Oral Exercises and Written Compositions. London, Longmans, Green.

Palmer, H. E. (1939). New Method Series. English Practice Books. Book III: More Advanced Oral Exercises and Written Compositions. London, Longmans, Green.

Palmer, H. E. (1944). Foreign Language Teaching: Past, Present and Future. Buenos Aires, Mitchell's English Book-Store.

Palmer, H. E. (1958). The Teaching of Oral English. (Revised Impression). London, Longmans, Green.

Palmer, H. E. (1964). Language and Language Learning. The Principles of Language-study. London, Oxford University Press.

Palmer, H. E. (1965). Language and Language Learning. Curso Internacional de Inglés. London, Oxford University Press.

Palmer, H. E. (1968). Language and Language Learning. The Scientific Study and Teaching of Languages. London, Oxford University Press.

Palmer, H. E. and F. G. Blandford (1927). Everyday Sentences in Spoken English, with Phonetic Transcription and Intonation Marks (for the Use of Foreign Students). (3rd Edition). Cambridge, Heffer and Sons.

Palmer, H. E. and F. G. Blandford (1928). English Pronunciation through Questions and Answers. Cambridge, Heffer and Sons.

Palmer, H. E. and F. G. Blandford (1935). Everyday Sentences in Spoken English, with Phonetic Transcription and Intonation Marks (for the Use of Foreign Students). (5th Edition). Cambridge, Heffer and Sons.

Palmer, H. E. and F. G. Blandford (1939). A Grammar of Spoken English, on a Strictly Phonetic Basis. (2nd Edition). Cambridge, Heffer and Sons.

Palmer, H. E., F. G. Blandford, et al. (1969). A Grammar of Spoken English. (3rd Edition). Cambridge, Heffer.

Palmer, H. E. and A. S. Hornby (1937). Thousand-word English: What it is and What can be Done with it. London, Harrap.

Palmer, H. E. and A. S. Hornby (1939). Thousand-word English Junior Series. Stories from Grimm. Adapted and Rewritten within the Thousand-word Vocabulary. London, Harrap.

Palmer, H. E. and J. V. Martin (1926). English through Questions and Answers. Book I (Part II). Corresponding to Book I, Part II of the Readers. Tokyo, Institute for Research in English Teaching.

Palmer, H. E., J. V. Martin, et al. (1929). A Dictionary of English Pronunciation with American Variants, in Phonetic Transcription. (2nd Edition). Cambridge, Heffer and Sons.

Palmer, H. E. and D. Palmer (1925). English through Actions, (this Forming Part of the “Oral Ostensive Line of Approach” of the Standard English Course in Preparation by the Institute). Tokyo, Institute for Research in English Teaching.

Palmer, H. E., E. K. Venables, et al. (1930). The Standard English Readers for Girls. Book One. Tokyo, Institute for Research in English Teaching.

Wilson, J. and H. E. Palmer (1955). New English Course. Grammar and Composition for Reader 3. London, Longmans, Green.

Wilson, J. and H. E. Palmer (1955). New English Course. Reader 3. London, Longmans, Green.

Additionally:

Naganuma, N. (ed.) (1934). A Commemorative Volume Issued by the Institute for Research in English Teaching on the Occasion of the Tenth Annual Conference of English Teachers Held under its Auspices. Tokyo, Institute for Research in English Teaching

The Bulletin of the Institute for Research in English Teaching (photographically reproduced in 7 volumes), ed. Institute for Research in Language Teaching (1985), Tokyo: Meicho Fukyu Kai.

	The Scientific Study & Teaching of Languages 1917 London: Harrap US edition available to read via 'Open Library' hereLink opens in a new window
	The Bulletin of the Institute for Research in English Teaching  (Founder and Editor, 1923-1936) Tokyo: The Institute for Research in English Teaching
	Colloquial English Part I. 100 Substitution Tables. 1923 Cambridge: Heffer Available to read via 'Open Library' here
	Thinking in English 1923 Tokyo: The Institute for Research in English Teaching
	English through Questions and Answers Book I (Part I) 1926 Tokyo: The Institute for Research in English Teaching
	Second Interim Report on English Collocations 1933 Tokyo: The Institute for Research in English Teaching
	Everyday Sentences in Spoken English  1935 Cambridge: Heffer. 1922 edition available to read via 'Open Library' hereLink opens in a new window.
	Thousand-Word English [with A.S. Hornby] 1937 London: Harrap
	A Grammar of English Words 1938 London: Longmans, Green
	A Grammar of Spoken English 1939 Cambridge: Heffer
	Foreign Language Teaching Past, Present and Future 1942 Buenos Aires: Mitchell's English Book-Store
	New Method English Practice Book One 1956 London: Longmans, Green
	The Selected Writings of Harold E. Palmer (10 volumes), edited by the Institute for Research in Language Teaching, published 1995 by Hon-no-Tomosha, Tokyo
	Facsimile reproduction of all 180+ issues of The Bulletin of the Institute for Research in English Teaching (1923-1941) (7 volumes), edited by the Institute for Research in Language Teaching, published 1985 by Meicho Fukyukai, Tokyo