We study classical N = 2 string within the framework of the N = 4 topologic
al formalism by Berkovits and Vafa. Special emphasis is put on the demonstr
ation of a classical equivalence of the theories and the construction of an
action for the N = 4 topological string. The,SO(2, 2) Lorentz invariance m
issing in the conventional Brink-Schwarz action for the N = 2 string is res
tored in the N = 4 topological action. (C) 2001 Elsevier Science B.V All ri
ghts reserved.