This dataset provides raw data supporting the research detailed in the paper 'Surface acoustic wave effect on magnetic domain wall dynamics' (https://doi.org/10.1103/PhysRevB.108.104420). The data was generated using Mumax3. It focuses on the effects of the surface acoustic wave (SAW) on domain wall dynamics within thin films exhibiting 1% and 3% anisotropy disorders. These datasets are situated in the '1_percent_disorder' and '3_percent_disorder' folders respectively. Within these primary folders are subfolders representing various simulation conditions, specifically addressing domain wall dynamics both in the absence of SAWs and in their presence at multiple frequencies. The naming convention for these subfolders follows this format: 'simulation date_SAW condition_Level of disorder_simulation temperature' (e.g., 20220715_50MHz_Dis1_Temp0K). In each of these subfolders, the dataset contains results from ten stochastic simulations, each with distinct anisotropy configurations. Key data outputs, such as domain wall velocity (DWV_subfoldername.txt) and magnetisation trends during the simulation (table_subfoldername.txt), can be found within.