The far field energy distribution of the laser coherent beam synthesized by linear fiber array source directly affects its practical application.The farfield energy distribution ofthe laser coherent beam combined bya four-core fiber array is studied.The energy distributionof the light beam emitted from a single mode fiber is approximately described by Gauss distribution function.A general mathematic expression is derived and further numerical calculation is carried out through MATLAB.A testing system ofthe energy distribution is built to verify the calculation results.The research results show that the laser beamcoherentlysynthesized from the four-core linear fiber array isapproximately Gaussian distribution,and the far field spot is composed of six interference fields of three different periods,which is resulted from six different combinations of the four cores.The experimental results agree well with the theoretical calculation.This researchhas a guiding significance for the far field application of optical fiber array coherent combination.