Wave induced excess flow of momentum （WIEFM） is the averaged flow of momentum over a wave period due to wave presence, which may also be called 3-D radiation stress. In this paper, the 3-D current equations with WIEFM are derived from the averaged Navier-Stokes equations over a wave period, in which the velocity is separated into the largescale backgrotmd velocity, the wave particle velocity and the turbulent fluctuation velocity. A concept of wave fluctuating layer （WFL） is put forward, which is the vertical column from the wave trough to wave ridge. The mathematical expressions of WIEFM in WFL and below WFL are given separately. The parameterized expressions of WIEFM are set up according to the linear wave theory. The integration of WIEFM in the vertical direction equals the traditional radiation stress （namely 2-D radiation stress） given by Longuet-Higgins and Stewart.
