In this paper, we construct a modification of Szász-Mirakyan operators with a new technique that preserved the exponential functions i.e. exp(µt) and exp(2µt), for a fixed real parameter µ > 0. We study the asymptotic behaviour and weighted approximation of these operators. Comparisons about one approximate better between the recent operators and the classical Szász-Mirakyan operators have also been presented. In the end, we compare the convergence of these operators and modified Baskakov operators to certain functions by illustrative graphics using the Mathematica algorithms.