The application of Bézier type operators is very extensive and has attracted people's attention. In the year 2017, Ren established a generalized Bernstein-Bézier type operators acting on C[0, 1]. Inspired by this, in this paper, a generalized Szász-Bézier type operators, with Gamma function defined on the positive semi-axis, is extended. Then, the equivalent theorem and the Voronovskaja type asymptotic formulas are also obtained