In this note we show that there is an anti-symplectic involution $sigma;:;X; o;X$ on a simply-connected, closed, non-Kahler and symplectic 4-manifold X with a disjoint union of Riemann surfaces ${amalg}^n_{i=1}{Sigma}_i,;n;{ge};2$ as a fixed point set. Also we show that its quotient X/$sigma$ is homeomorphic to $mathbb{CP}^2{sharp}rmathbb{CP}^2$ but not diffeomorphic to $mathbb{CP}^2{sharp}rmathbb{CP}^2,;r;=;b_2^-(X/{sigma})$.