- J. T. Oden and J.N. Reddy, Variational Methods in Theoretical Mechanics, Springer-Verlag, NY, 1976; Second Edition, 1982.
- J. T. Oden and J.N. Reddy, A Mathematical Theory of Finite Elements, John Wiley & Sons, New York, 1976.
- J. N. Reddy and M. L. Rasmussen, Advanced Engineering Analysis, John Wiley, New York, 1982; reprinted by Krieger, Melbourne, FL, 1990.
- J. N. Reddy, An Introduction to the Finite Element Method, McGraw-Hill, New York, 1984.
- An Introduction to the Finite Element Method, Second Edition, McGraw-Hill, NY, 1993.
- An Introduction to the Finite Element Method, Third Edition, McGraw-Hill, NY, 2006.
- Introduction to the Finite Element Method, Fourth Edition, McGraw-Hill, NY, 2019.
- Introduction to the Finite Element Method, Fourth Edition in Chinese, 2022.
- J. N. Reddy, Energy and Variational Methods in Applied Mechanics, John Wiley, NY, 1984.
- Energy Principles and Variational Methods in Applied Mechanics, Second Edition, John Wiley, NY, 2002.
- Energy Principles and Variational Methods in Applied Mechanics, Third Edition, John Wiley, NY, 2017.
- J. N. Reddy, Applied Functional Analysis and Variational Methods in Engineering, McGraw-Hill, NY, 1986; reprinted by Krieger, Melbourne, FL, 1991.
- O. O. Ochoa and J.N. Reddy, Finite Element Analysis of Composite Laminates, Kluwer Academic Publishers, The Netherlands, 1992.
- J. N. Reddy and A. Miravete, Practical Analysis of Composite Laminates, CRC Press, FL, 1995.
- J. N. Reddy, Mechanics of Laminated Composite Plates: Theory and Analysis, CRC Press, Boca Raton, FL, 1996.
- Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press, Boca Raton, FL, Second Edition, 2004.
- J. N. Reddy and D. K. Gartling, The Finite Element Method in Heat Transfer and Fluid Dynamics, CRC Press, FL, 1997.
- The Finite Element Method in Heat Transfer and Fluid Dynamics, Second Edition, CRC Press, FL, 2001.
- The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition, CRC Press, FL, 2010.
- J. N. Reddy, Theory and Analysis of Elastic Plates, Taylor & Francis, Philadelphia, PA, 1999.
- Theory and Analysis of Elastic Plates and Shells, Second Edition, Taylor & Francis, Philadelphia, PA, 2007.
- C. M. Wang, J.N. Reddy, and K.H. Lee, Shear Deformable Beams and Plates. Relationships with Classical Solutions, Elsevier, U.K., 2000.
- J. N. Reddy, An Introduction to Nonlinear Finite Element Analysis, Oxford University Press, Oxford, U.K., 2004.
- An Introduction to Nonlinear Finite Element Analysis, Second Edition, Oxford University Press, Oxford, U.K., 2015
- New chapter(Chapter.12)- Nonlinear Elasticity, Plasticity, and Viscoelasticity, 2019
- C. M. Wang, C. Y. Wang, and J.N. Reddy, Exact Solutions for Buckling of Structural Members, CRC Press, Boca Raton, FL, 2005.
- J. N. Reddy, An Introduction to Continuum Mechanics with Applications, Cambridge University Press, New York, 2008
- An Introduction to Continuum Mechanics, Second Edition, Cambridge University Press, New York, 2013.
- J. N. Reddy, Principles of Continuum Mechanics. A Study of Conservation Principles with Applications, Cambridge University Press, New York, 2010.
- Principles of Continuum Mechanics. Conservation and Balance Laws with Applications, Second Edition, Cambridge University Press, New York, 2017.
- R. T. Fenner and J.N. Reddy, Mechanics of Solids and Structures, 2nd ed., CRC Press, Boca Raton, Florida, 2012.
- A. Roy and J.N. Reddy, Computational Modelling of Polymer Composites, A Study of Creep and Environmental Effects, CRC Press, Boca Raton, Florida, 2013.
- A. Rao, A. R. Srinivasa, and J.N. Reddy, Design of Shape Memory Alloy (SMA) Actuators, Springer Briefs in Applied Sciences, Springer-Verlag, Berlin, 2015.
- K. S. Surana and J.N. Reddy, The Finite Element Method for Boundary Value Problems, Mathematics and Computations, CRC Press, Boca Raton, Florida, 2017.
- K. S. Surana and J.N. Reddy, The Finite Element Method for Initial Value Problems, Mathematics and Computations, CRC Press, Boca Raton, Florida, 2018.
- J.N. Reddy, Theories and Analyses of Beams and Axisymmetric Circular Plates, CRC Press, Boca Raton, Florida, 2022.
- J.N. Reddy, N.K. Anand, and P. Roy, Finite Element and Finite Volume Methods for Heat Transfer and Fluid Dynamics, Cambridge University Press, New York, 2023.
- J.N. Reddy, Computational Methods in Engineering: Finite Difference, Finite Volume, Finite Element, and Dual Mesh Control Domain Methods, CRC Press, Boca Raton, Florida, 2023.
- Kari Santaoja and J.N. Reddy, Continuum Thermodynamics and Material Modelling, Cambridge University Press, New York, 2023.
