Abstract: The purpose of this paper is to introduce a new class of nano generalized closed sets namely, nano*generalized b-closed sets in a nano topological space, Also we have introduce nano*generalized locally b-closed sets and their characterizations are analyzed.

Keywords: N*gb -closed set, N*GBLC -closed set, (N*GBLC)* -closed set, (N*GBLC)** -closed set.