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The Dirac equation for an electron in two spatial dimensions in the Coulomband homogeneous magnetic fields is a physical example of quasi-exactly solvablesystems. This model, however, does not belong to the classes based on thealgebra $sl(2)$ which underlies most one-dimensional and effectivelyone-dimensional quasi-exactly solvable systems. In this paper we demonstratethat the quasi-exactly solvable differential equation possesses a hidden$osp(2,2)$ superalgebra.Comment: LaTex, 10 pages, no figure

QUASI-EXACT SOLVABILITY OF PLANAR DIRAC ELECTRON IN COULOMB AND MAGNETIC FIELDS