Create Points on a Surface

[Danny_I_Allred]

I think what your looking for is surface to points.

Surface to Points Command

[D_SurfaceToPoints_600ppi]   Surface to Points Command Licensing and Default Menu Location The Surface to Points command is part of the RPS Modeling Toolbox The command is located on the Modeling macros menu ribbon The command is located in the Surface / Volumes menu group Command Description Surface models provided by Engineers for Existing Ground are often derived from point clouds. The imported TINs often cover large areas and have extremely dense triangulation. For modeling purposes…

Or you can create your own points and use the change elevation command, set it to surface elevation, pick the surface you want, and it will auto elevate the points to that surface.