Ken Kennedy Award (For influential contributions to mathematical software, performance measurement, and parallel programming, and significant leadership and service within the HPC community., 2013)
Prêmio Sidney Fernbach (For outstanding and sustained contributions to the area of mathematical software, most particularly in the areas of communication and numerical libraries and performance benchmarks for high performance computing, 2003)
ACM Fellow (2001)
IEEE Fellow
Fellow of the Society for Industrial and Applied Mathematics (For contributions to numerical linear algebra, including EISPACK, LINPACK, and LAPACK, and high-performance computing., Jack J. Dongarra, 2009)
Fellow of the AAAS
Membro Estrangeiro da Royal Society (2019, 2019)
Prêmio Turing (For his pioneering contributions to numerical algorithms and libraries that enabled high performance computational software to keep pace with exponential hardware improvements for over four decades, 2021)