  We prove that the envelope of meromorphy of any imbedded symplectic sphere in
$CP^2$ coincides with the whole $CP^2$. As a tool for the proof we use the
Gromov theory of pseudo-holomorphic curves. Several results in this subject,
such as adjunction formula, smoothness of moduli space in the neighborhood of a
cusp-curve are improved. We introduce a natural holomorphic structure on the
pulled back tangent bundle, in which the differential of a ps.-hol. map in an
analytic morphism and describe cusps of ps.-hol. curves using Bennequin index.
