Abstract：In the previous work, we used the overconvergent cohomology to construct a deformation of Kato's Euler system over the eigencurve and then construct a two variable p-adic L function. In this talk, we will explain a construction of the deformation of Kato's Euler system over the universal deformation ring, from which one can recover the deformation of Kato's Euler system over the eigencurve; thus this gives us another construction of two variable p-adic L function.