In this paper a review is presented of the pioneering space research carried out under the leadership of Professor K. Ya. Kondratyev and with his direct participation. Some of his work concerned with radiation transfer in the atmosphere and with remote sensing of the atmosphere and the Earth surface is cited. The achievements of scientists from the USSR and Russia in the field of exploration of the Earth from space, where Kondratyev played a very important role, are described. Fundamental and applied studies in atmospheric optics and other disciplines, connected with modelling of radiation transfer between the atmosphere and the underlying surface and with analysis of data observed from space, have been described in their development from the 1950s up to now. Mathematical modelling is considered as an indispensable tool in preparing and conducting space projects concerning studies of the Earth from space. Different stages are described of the onset and development of the relevant research with the participation of Kondratyev and his successors.