The purpose of this paper is to obtain some new separation axioms in generalized topological spaces, namely, almost G-regular and G-semiregular spaces, which are generated by m-regular open sets. Therefore, properties and characterization are introduced. Relationships among these spaces and some other m-separation axioms are considered. In addition, mapping properties have been given. Our partial aim is an indication of significant differences between the theorem of topological spaces and that of generalized topological spaces.

almost G-regular space, m-semiregularization generalized topology, G-semiregular space, almost -continuous function, super -continuous function, -continuous function.