In this paper, we use the reproducing kernel method (RKM) to solve linear integro-differential equations with Abel kernel. Employing the reproducing kernel function, we construct a complete system in space The exact solution of the equation is represented by the complete system in the reproducing kernel space By comparing with the method used in [8], RKM has the following advantages, including the speed of the convergence is fast, and the precision is high, and the singularity is overcame better. And the RKM is efficient for the every real positive number l.