In this paper, we will use a nano-g-open (nano-g-closed) subset of a nano topological space $(U, \tau_{R}(X))$ to introduce two new nano operators called nano-H-Closure ($N-H-Cl$ for short) and nano-H-Interior ($N-H-Int$ for short). Using nano-H-Interior we shall define a new nano topological space, namely the nano-H-topological space ($(U, H-\tau_{R}(X))$ for short). Moreover, we shall discuss and examiner the fundamental properties of these new nano operators and new nano topology, with emphasis on the transfer of nano regularity conditions on $(U, \tau_{R}(X))$ to nano separations axiom conditions on $(U, H-\tau_{R}(X))$. Some applications will be investigated.