  We consider the description of reggeon amplitudes (Wilson lines form factors)
in N=4 SYM within the framework of four dimensional ambitwistor string theory.
The latter is used to derive scattering equations representation for reggeon
amplitudes with multiple reggeized gluons present. It is shown, that
corresponding tree-level string correlation function correctly reproduces
previously obtained Grassmannian integral representation of reggeon amplitudes
in N=4 SYM.
