Measurements of the stable isotopic composition (dD(H2) or dD) of atmospheric molecular hydrogen (H2) are a useful addition to mixing ratio (X(H2)) measurements for understanding the atmospheric H2 cycle. dD datasets published so far consist mostly of observations at background locations. We complement these with observations from the Cabauw tall tower at the CESAR site, situated in a densely populated region of the Netherlands. Our measurements show a large anthropogenic influence on the local H2 cycle, with frequently occurring pollution events that are characterized by X(H2) values that reach up to 1 ppm and low dD values. An isotopic source signature analysis yields an apparent source signature below -400 per mil, which is much more D-depleted than the fossil fuel combustion source signature commonly used in H2 budget studies. Two diurnal cycles that were sampled at a suburban site near London also show a more D-depleted source signature (-340 per mil), though not as extremely depleted as at Cabauw. The ... : Please cite the original AtmosEnv article (doi:10.1016/j.atmosenv.2016.09.058) when using these data.The paper also contains more information about how these data were collected and calibrated, and on how the quality control flags were assigned.All samples were collected at the Cabauw tower, at the CESAR site (51.971° N, 4.927° E, http://www.cesar-observatory.nl/). H2 and deltaD(H2) are calibrated using one to four laboratory reference air cylinders, depending on measurement period. The H2 mixing ratio of the reference cylinders was determined by UHEI-IUP, MPI-BGC, or the IMAU isotope laboratory. The deltaD(H2) of the reference cylinders is, sometimes indirectly, linked to the VSMOW scale by measurements of air mixtures containing H2 standards of known isotopic composition.H2 scale: MPI2009, Jordan and Steinberg, AMT, 2011, doi:10.5194/amt-4-509-2011deltaD(H2) units: permil deviation from VSMOW, Gonfiantini et al., IAEA-TECDOC-825, IAEA ...