These experimental data are the raw recorded and processed data from uniaxial tensile tests performed on 40 samples of human tunica albuginea and 17 samples of cavernous tissue. These data have been acquired on samples taken form Post Mortem Human Subjects between April, 2024 and July, 2024 and post-processed up to July, 2025, at the Laboratory of Biomechanics and Impact Mechanics (LBMC UMR_T9406 Univ. Eiffel/UCBL1) in Lyon, France in the context of the study of the erection in implanted penises. The raw recorded data can be re-processed according to various methods to obtain the stress-stretch curves. The processed data are the stretch stretch curves that can be used to identify a mechanical behavior model and/or to compare the behavior of the tunica albuginea and the cavernous tissue relatively to the behavior of others soft biological tissues. Such models and associated properties are needed in view of numerical modelling of the implanted penises.