IN THIS PAPER, A HYBRID NUMERICAL METHOD BASED ON LOCAL POLYNOMIAL SPLINES IS GENERALIZED FOR APPROXIMATE SOLUTION OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS. THE PROPOSED SCHEME IS A UNIVARIATE B-SPLINE COLLOCATION METHOD WITH A CUBATURE FORMULA FOR NUMERICAL EVALUATION OF INTEGRAL CONTAINING THE KERNEL BASED ON BIVARIATE SPLINE FUNCTIONS. COMPUTATIONAL FEATURES AND SOME NUMERICAL EXPERIMENTS ARE ALSO REPORTED.