After using basic grammars, which introduce morphology and basic syntax, students may move forward by using Hebrew readers, intermediate grammars, and lexicons.
Hebrew Readers

A Reader's Hebrew Bible
A. Philip Brown II, Bryan W. Smith
Grand Rapids: Zondervan, 2008.
Catalogue Record

Graded Reader of Biblical Hebrew
Miles V. Van Pelt, Gary D. Pratico
Grand Rapids: Zondervan, 2006.
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Readings in Biblical Hebrew: An Intermediate Text
Ehud Ben Zvi, Maxine Hancock, Richard Beinert
New Haven: Yale University Press, 1993.
Catalogue Record
Intermediate Grammars

Gesenius' Hebrew Grammar
ed. E. Kautzsch
Oxford: Clarendon Press, 1974.
Catalogue Record

Williams' Hebrew Syntax
Ronald J. Williams
Toronto: University of Toronto Press, 2007.
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A Guide to Biblical Hebrew Syntax
Bill T. Arnold, John H. Choi
Cambridge: Cambride University Press, 2018.
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A Grammar of Biblical Hebrew
Paul Joüon, T Muraoka
Roma : Editrice Pontificio Istituto Biblico, 1991.
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Invitation to Biblical Hebrew Syntax
Russell T. Fuller, Kyoungwon Choi
Grand Rapids: Kregel, 2017.
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An Introduction to Biblical Hebrew Syntax
Bruce K. Waltke, M. O'Connor
Winona Lake: Eisenbrauns, 1990.
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A Biblical Hebrew Reference Grammar
Christo J. J. van de Merwe, Jacobus A. Nande, Jon H. Kro
New York: Bloomsbury T&T Clark, 2017.
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Hebrew Lexicons
Lexicography has improved significantly since the days when the classic standard lexicons of Gesenius and Brown, Driver, and Briggs (BDB) were published. Though these early works remain useful to some extent, students should familiarize themselves with the contemporary standards in Hebrew lexicography. In addition to the introductions of HALOT and DCH listed below, Moises Silva's Biblical Words and Their Meaning and James Barr's The Semantics of Biblical Language are particularly helpful.

The Hebrew and Aramaic Lexicon of the Old Testament
Ludwig Köhler, Walter Baumgartner, MEJ Richardson, Johann Jakob Stamm
New York: E.J. Brill, 2000.
Catalogue Record

The Dictionary of Classical Hebrew
ed. David J.A. Clines
Sheffield: Sheffield Academic Press, 1993-2016.
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The Brown-Driver-Briggs Hebrew and English Lexicon
Francis Brown, S.R. Driver, Charles A. Briggs
Peabody: Hendrickson Publishers, 2010.
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Shorter Lexicons:

A Concise Hebrew and Aramaic Lexicon of the Old Testament
ed. William L. Holladay
Grand Rapids: Wm. B. Eerdmans, 1971.
Catalogue Record

The Concise Dictionary of Classical Hebrew
ed. David J. A. Clines
Sheffield: Sheffield Pheonix Press, 2009.
Catalogue Record