In this thesis, we introduced some types of fibrewise topological spaces by using a near soft set, various related results also some fibrewise near separation axiom concepts and a fibrewise soft ideal topological spaces. We introduced preliminary concepts of topological spaces, fibrewise topology, soft set theory and soft ideal theory. We explain and discuss new notion of fibrewise topological spaces, namely fibrewise soft near topological spaces, Also, we show the notions of fibrewise soft near closed topological spaces, fibrewise soft near open topological spaces, fibrewise soft near compact spaces and fibrewise locally soft near compact spaces. On the other hand, we studied fibrewise soft near forms of the more essential separation axioms of ordinary soft topology namely fibrewise soft near T_0 spaces, fibrewise soft near T_1 spaces, fibrewise soft near R_0 spaces, fibrewise soft near Hausdorff spaces, fibrewise soft near functionally Hausdorff spaces, fibrewise soft near regular spaces, fibrewise soft near completely regular spaces, fibrewise soft near normal spaces and fibrewise soft near functionally normal spaces. Too we add numerous outcomes about it. Finally, we introduced a notion fibrewise soft ideal topological spaces and give the results related it to, Further we obtain some properties in the light of the study notions fibrewise soft ideal open topological spaces, fibrewise soft ideal closed topological spaces and fibrewise soft near ideal topological spaces.