The currents and the super-operators product expansions of the N = 4 super-
W algebra are obtained. The generators of this extended conformal algebra c
onsist of the stress-tenser superfield J and the primary superfields Phi (q
)(+/-nu) of integer or half-integer conformal weight Delta and Cartan-Weyl
charge q. The algorithm for deriving the N = 4 super-W algebra is given for
particular cases. Explicit forms of the operator product algebra Phi Phi f
or different values of Delta are given.