Prasad, S.S.Pandey, U.S.2015-02-072015-02-072015-02-07http://hdl.handle.net/11007/2833We have obtained non static exact solutions of Einstein's field equations for a higher dimensional perfect fluid sphere admitting a one - parameter group of conformal motions. Two special solutions have been obtained by selecting particular values of the constants occuring in general solutions. First solution is homogeneous representing stiff matter and it is a generalisation of solution 1 of Herrera and Leon [1] for 4 dimensional space- time. The other solution is inhomogeneous in density as well as pressure. Both the solutions are shearing and fulfil the dominant energy condition.enArticle