The dataset summarizes measurement data that were used to calculate OSL rock surface exposure ages for wave-emplaced coastal boulders at the Rabat coast (Morocco). It consists of sensitivity-corrected natural luminescence signals (Lx/Tx values) from the surfaces of 17 rock samples. For each sample Lx/Tx values for the uppermost 15 mm are presented in 1-mm steps. Each of these values is the average of 3-5 individual measurements from the same depth level. The chronological information inferred from this dataset can be used to characterise recurrence patterns of storms and tsunamis at the Atlantic coast of Morocco.