ONE OF APPLIED DISCUSSION IN STATISTICS IS THE ESTIMATION OF probability DENSITY FUNCTION. ONE OF THE ISSUES RELATING TO THIS SUBJECT IN RECENT YEARS IS ESTIMATE probability DENSITY FUNCTION THROUGH INITIAL DENSITY FUNCTION AND INFORMATION ABOUT MOMENTS. IN THIS PAPER, WE INTRODUCE Minimum CHI-SQUARE DIVERGENCE PRINCIPLE FOR BIVARIATE MANNER, IN ADDITION TO WE DENOTE THE APPLICATION OF Minimum CHI-SQUARE DIVERGENCE FOR DETERMINATION JOINT DENSITY FUNCTION GIVEN PRIOR DENSITY FUNCTION AND RETAIL INFORMATION ABOUT MOMENTS. IN FINAL CONSEQUENCES ARE CONSIDER IN DETAIL, FOLLOWED BY A NUMERICAL ILLUSTRATION.