Summary: The idea of almost convergence for double sequences was introduced by F. Móricz
and B. E. Rhoades
[Math. Proc. Camb. Philos. Soc. 104, No. 2, 283–294 (1988; Zbl 0675.40004
)]. In this paper, we use this concept to prove a Korovkin type approximation theorem for functions of two variables along with a supporting example. Further, we present some consequences of our main theorem.