  We consider exact and quasi-exact solvability of the one-dimensional
Fokker-Planck equation based on the connection between the Fokker-Planck
equation and the Schr\"odinger equation. A unified consideration of these two
types of solvability is given from the viewpoint of prepotential together with
Bethe ansatz equations. Quasi-exactly solvable Fokker-Planck equations related
to the $sl(2)$-based systems in Turbiner's classification are listed. We also
present one $sl(2)$-based example which is not listed in Turbiner's scheme.
