Based on the s-d interaction model,we consider the influence of s-f exchange effect on the electron-phonon coupling and discuss the specific heat of conducting electron in a rare earth metal.The results of calculation show that the specific heat of conducting electron can be written as γ＝γ0＋γep＋γex＋γs-f, where γ0 =(πkB/?kF)2m ,γep=γ0λep ,γex=γ0λex ,γs-f =γ0λs-f;here ep =e-p coupling,ex=exchange,s-f=s-f exchange.