Recent years, Andreatta and Iovita construct a new triple product p-adic L-function for the finite slope families of modular forms. Combining with the diagonal class constructed by Bertolini, Seveso and Venerucci, we can establish the relation between the new p-adic L-function and the diagonal class in the finite slope case. I will give a brief talk on the proof of the reciprocity law and also talk about some applications. This is a work in progress.