The Climatologies at high resolution for the Earth's land surface (CHELSA) dataset contains high spatial resolution monthly climatologies of mean, maximum and minimum temperatures and mean precipitation, representing the period 1979-2013.  CHELSA is essentially a statistical downscaling of the ERA-Interim reanalysis, with the temperature downscaling based on mean lapse rates and elevation, and the precipitation algorithm using geographic predictors including wind fields, exposure, and boundary layer height.  The data are intended for applications in ecology, agriculture and meteorology that depend on high resolution data.  Although the main dataset is derived from a reanalysis, the CHELSA algorithms could be used to downscale climate model simulations of past and future climate.  Originally published as a climatology, CHELSA data are now available for each month from January 1979 to December, 2013.