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The influences of Δ quartet,especially Δ- and Δ0 particles,on the neutrino scatting and cooling properties of neutron stars are discussed.The results show that Δ quartet can change the density range of direct Urca process of nucleons for muons,as well as the neutrino emissivity and luminosity.The role ofΔ on the cooling rates is complicated.It is found that Δ quartet slows the neutron star cooling obviously in hyperonic neutron star matter.However in nuclear matter,Δ can not influence the cooling too much,unless the neutron star is quite massive.The Δ-meson coupling constants can also impact on the results,and the relatively smaller value,the stronger effects of Δ quartet.