This dataset comprises sea surface height (SSH) and velocity data at the ocean surface in two small regions near the Agulhas retroflection. The unfiltered SSH and a horizontal velocity field are provided, along with the same fields after various kinds of filtering, as described in the accompanying manuscript, Using Lagrangian filtering to remove waves from the ocean surface velocity field (https://doi.org/10.31223/X5D352). The code repository for this work is https://github.com/cspencerjones/separating-balanced . Two time-resolutions are provided: two weeks of hourly data and 70 days of daily data. Seventy_daysA.nc contains daily data for region A and Seventy_daysB.nc contains daily data for region B, including unfiltered, lagrangian filtered and omega-filtered velocity and sea-surface height. two_weeksA.nc contains hourly data for region A and two_weeksB.nc contains hourly data for region B, including unfiltered and lagrangian filtered velocity and sea-surface height. Note that region A has been moved in version 2 of this dataset. See the manuscript and code repository for more information. This work was supported by NASA award 80NSSC20K1142.