After the precise confirmation of the accelerated expansion of the universe in ????, extensive efforts were made to describe this phenomenon. One of these efforts was the massive gravity theory. The theory of massive gravity has a long history, but a large part of its develpment has happened in the last decade. One of the most important theories of massive gravity is the bi-gravity theory that was proposed by Fouad Hassan and Rachel Rosen in ????. Since somehow the square root of the metric exists in the action of this theory, calculation will be complicated. To solve this problem, vierbein formulation is used. Since vierbein acts as the square root of the metric, the calculation will be simpler. Furthermore, in this formalism, it is possible that the bi-gravity theory be extended to multi-gravity theory. Since a large part of this theory is similar to the action of general relativity, we will begin by analyzing this action. In the next step, We will rewrite the bi-gravity theory in the vierbein formalism. Then, with the help of the ADM method, we will calculate the Hamiltonian of this theory and its constraint structure.