Introductory

• Wikipedia: Discourse analysis
• Discourse Analysis | The Lexham Bible Dictionary
• Current Trends in Biblical Hermeneutics | Jack K. Willsey at 2000 NARBC Preaching Seminar
• Text as a Guide to Authorial Intention: An Introduction to Discourse Criticism | Robert D. Bergen in JETS
• Modern Linguistics versus Traditional Hermeneutics | Robert L. Thomas in TMSJ
• Discourse Analysis: Its History, Tenets, and Application in Evangelical Biblical Scholarship | William K. Bechtold III
• A Summary of Discourse Theory | by M. James Sawyer (short introductory article on bible.org)
• Discourse analysis and The Greek New Testament | Johannes P. Louw
• A semiotic approach to discourse analysis with reference to translation theory | Johannes P. Louw
• Discourse Analysis and Other Topics in Biblical Greek | edited by Stanley E. Porter & D.A. Carson
• Discourse Features of New Testament Greek: A Coursebook on the Information Structure of New Testament Greek, Second Edition | Stephen H. Levinsohn
• Discourse Grammar of the Greek New Testament: A Practical Introduction for Teaching and Exegesis | Steven E. Runge

Example studies

• Discourse Analysis and the Interpretation of Gen 2:4-7 | Jack Collins in Westminster Theological Journal
• Discourse Analysis of Directive Texts: The Case of Biblical Law | Anne E. Garber Kompaoré
• Recursion patterns and the sectioning of Amos | William A. Smalley
• Discourse Analysis of the Book of Titus | Corey Keating
• A Hierarchy of Clauses in Biblical Hebrew Narrative | Eep Talstra from Vrije Universiteit
• The Verbs of Esther: A Discourse Analysis of a Post-Exilic Text | Jill Riepe
• ‘In the beginning’ of Biblical Hebrew Discourse: Genesis 1:1 and the Fronted Time Expression | Nicolai Winther-Nielsen from University of Lund
• Discourse Analysis and Interpretation: A Test Case in Matthew 24–25 | Annika Ralston from Örebro Theological Seminary
• A Discourse Analysis of Hebrews | Linda Lloyd Neeley
• A Discourse Analysis of Hebrews 10:19–25 | Matthew McDill
• A Discourse Analysis of Jesus’ Conversation with the Samaritan Woman | by Gbadeyan Adeleke Oluwayomi
• Jesus Stills the Storm: An Examination of Mark 4:35-41 Using Discourse Analysis | Wayne T. Slusser
• A Discourse Analysis of First Corinthians | Ralph Bruce Terry
• Towards an Exegesis of 1 John Based on the Discourse Analysis of the Greek Text | Robert E. Longacre
• Discourse structure In 3 John | David J. Clark
• Discourse Structure In Ephesians, With Some Implications For Translators | David J. Clark
• A Discourse Analysis of Paul’s Shipwreck Acts 27.1–44 | Tim Hawthorne
• Souls Under the Altar: Relevance Theory and the Discourse Structure of Revelation | Stephen Pattemore

Examples informed by discourse analysis

• Reading Biblical Hebrew Poetry Linguistic Structure or Rhetorical Device? | Eep Talstra from Vrije Universiteit
• Syntactic Analysis of Jonah | A Niccacci
• The Structure of Titus: Criss-cross Chiasmus as Structural Marker | Kevin Gary Smith from South African Theological Seminary
• The Semantics of Verbal Pragmatics: Clarifying the Roles of Wayyiqtol and Weqatal in Biblical Hebrew Prose | John A. Cook in Journal of Semitic Studies

Textlinguistic Analysis, a related but not identical approach

Systemic functional grammar, a related but not identical approach