Assuming that CX,Y is the copula function of X and Y with marginal distribution functions FX(x) and FY(y) , in this work we study the selection distribution Z=d(X|Y∈T) . We present some special cases of our proposed distribution, among them, skew-normal distribution as well as normal distribution. Some properties such as moments and moment generating function are investigated. Also, some numerical analysis is presented for illustration.