This is okay.
Animate[Plot3D[h x^2 y, {x, -1, 1}, {y, -1, 1}, PlotRange -> 2, Background -> Blue], {h, 0, 1, .01}]
But I want a background, in the animation, same the picture in the file attachment. Is it possible?
Dear Rohit Thank you very much.
You can experiment with Overlay.
Overlay
img = Import["~/Downloads/Background.png"]; Animate[Overlay[{ img, Plot3D[h x^2 y, {x, -1, 1}, {y, -1, 1}, PlotRange -> 2, Axes -> None, ImageSize -> ImageDimensions@img/2]}], {h, 0, 1, .01}]