A: CMOS Monolithic Active Pixel Sensors (CPS) are ultra-light and highly granular silicon pixel detectors suited for highly sensitive charged particle tracking. Being manufactured with cost efficient standard CMOS processes, CPS may integrate sensing elements together with analogue and digital data processing circuits into one monolithic chip. This turns into 50 µm thin sensors, which provide an outstanding typical spatial resolution of few µm and a detection efficiency for minimum ionizing particles above 99.9%. The radiation tolerance of CPS was initially constrained by the limits of the CMOS processes used for their production but has been improved by orders of magnitudes during the last years.This work reviews the related R&D on the radiation tolerance of traditional CPS with partially depleted active medium as pioneered by the MIMOSA-series developed by the IPHC Strasbourg. Procedures for assessing radiation damage in those non-standard pixels are discussed and the major mechanisms of radiation damage are introduced. Techniques for radiation hardening are shown. Moreover, recent results on next generation CPS featuring fully depleted sensors based on improved CMOS processes are summarized.