The relativistic recoil correction to hydrogen energy levels is calculated to all orders in αZ for the point nucleus. Previously published values have been improved in accuracy. It is found that the recoil correction, beyond the Salpeter one, amounts to -7.16(1) kHz and -0.737(3) kHz for the 1s and 2s states, respectively. The corresponding contribution to the 2s-2p_1/2 Lamb shift constitutes -1.324(3) kHz.