Abstract: We used relativistic mean field theory (RMFT) to describe hadronic matter, MIT bag model to describe colorflavorlocked (CFL) color superconducting quark matter, and the GL85,GL1,NL3 parameter groups to investigate the effect of the energy gap (Δ) of the CFL color superconductivity on the property of hybrid star. The results show that with the increase of the Δ, the maximum mass and radius of hybrid star is distributed in three regions: hadron star region （Δ<76 MeV）、 intermadiate transition region （76 MeV≤Δ<160 MeV）、 CFL color superconducting quark star region （160 MeV≤Δ≤200 MeV）. With the increase of Δ, the phase transition density of hardonCFL quark transition in hybrid stars decreases, and phase transition region narrows, the equation of state (EOS) softens first, then stiffens, and the maximum mass of stars decreases firstly and then increases. The influence of the energy gap of CFL color superconductivity on the properties of hybrid stars studied by GL85 and GL1 parameter groups is consistent. The neutron star PSR J16142230 can be obtained by NL3 parameter group in small energy gap （Δ<30 MeV）.

Key words: colorflavorlocked color superconductivity, energy , gap, hybrid star, equation of state, massradius relation