Using the variational method of the Pekar type, we studied the ground-state energy and the excited-state energy of a parabolic potential quantum pseudodot. Through numerical calculation and derivation, we found that (1) the ground-state energy E₀ increases with the increase of V₀; (2) when λ  >  6, E₀ and E₁ are increasing functions of λ, but when λ  <  5, E₀ and E₁ are decreasing functions of λ. In these processes, the change of ω_c is not significant. (3) E₁ is a decreasing function of l₁ and l₂.