Abstract: In this paper, we use the bivariate（p，q）-Riemann integral to construct the bivariate （p，q）- Bernstein-Schurer-Kantorovich operator, and prove the uniform convergence of the bivariate operator. The approximation speed of the binary function under special conditions is discussed, which further promotes some approximation conclusions of the unary operator.

Key words: bivariate（p, q）-Bernstein-Schurer-Kantorovich operators, bivariate（p, q）-Riemann integral, the modulus of continuity