This paper introduces a new topological concept of v-semi-connected spaces which depends on the worksofHamza[6] and Dorsett[4].This space is stronger than the semi-connected space, that is every v-semi-connected space is a semi-connected space but the converse is not always true as well as giving the condition that make the converse is true which is the semi-normality. We prove thatthis property is a topological property.