<p>The goal of present article is to introduce a Chlodowsky variant of Szász type sequences of operators in terms of Hermite polynomials. Further, we calculate some estimates at test functions and central moments. Further, we introduce Voronovskaja and Grüss-Voronovskaja type approximation results to study their convergence rate. Next, we discuss uniform convergence theorem and order of approximation via Korovkin theorem and first order modulus of smoothness respectively. Moreover, we study pointwise approximation results in view of Peetre’s K-functional, second order modulus of smoothness and Lipschitz type space. Lastly, bivariant version of these sequences of operators are introduced. Further, their rate of convergence and order of approximation are investigated.</p>