The term was introduced in 1939 by Robert S. Mulliken[2] in the course of his work on UV spectroscopy of conjugated molecules. Mulliken observed that on adding alkyl groups to alkenes the spectra shifted to longer wavelengths. This bathochromic shift is well known in regular conjugated compounds such as butadiene. He was also the first to attribute the lower heat of hydrogenation for these substituted compounds (compared to those without substitution) to hyperconjugation. An effect predating the 1939 hyperconjugation concept is the Baker-Nathan effect reported in 1935.
^Intensities of Electronic Transitions in Molecular Spectra IV. Cyclic Dienes and Hyperconjugation Robert S. Mulliken J. Chem. Phys. -- May 1939 -- Volume 7, Issue 5, pp. 339-352 doi:10.1063/1.1750446
^Hyperconjugation not steric repulsion leads to the staggered structure of ethane Pophristic, V. & Goodman, L. Nature 411, 565–568 (2001)Abstract
^Chemistry: A new twist on molecular shape Frank Weinhold Nature 411, 539-541 (31 May 2001) Abstract