The state of the current understanding of hydrogen in elemental and compound semiconductors is reviewed. The results of new experimental and theoretical studies of the microscopic structure of acceptor-hydrogen and donorhydrogen complexes are presented. Questions regarding hydrogen tunnelling in some of t h e acceptor and donor complexes in elemental semiconductors, as well as t h e problem of electronic states of isolated hydrogen, are discussed in the light of t h e most recent experimental findings. Also, some promising areas of future research are indicated