In the present paper, we have introduccd a generalized multidimensional Whittaker trans­ form, Laplace transform and Hankel transform, involving the produet of two multivariahle H-funetions as kemel. We have diseussed some theorems on multidimensional integral representa- tions for the generalized Whittaker transform. Illustrative examples and corollary have also been inciuded.