We present a multi-proxy dataset of two sediment cores (0.61 and 0.41 m long) from interconnected infilled depositional basins in the Kobbefjord area, southwestern Greenland. We performed analyses of magnetic susceptibility, grain size distribution, X-ray fluorescence (XRF) element composition , total content of carbon, nitrogen and sulfur, biogenic silica (at 0.5-cm resolution), and diatom stratigraphy (at 1 to 5-cm resolution). The sequences provide evidence of sedimentation in former shallow Arctic lakes or ponds in sparsely glacierized catchments.