  In this paper we introduce and study the local version of the Menger
property, namely locally Menger property (or, locally Menger space). We explore
some preservation like properties in this space. We also discuss certain
situations where this local property behaves somewhat differently from the
classical Menger property. Some observations about the character of a point,
network weight and weight in this space are also investigated carefully. We
also introduce the notion of Menger generated space (in short, MG-space) and
make certain investigations in this space. Several topological observations on
the decomposition and the remainder of locally Menger spaces are also
discussed.
