The systole of a nonsimply connected closed manifold is defined as the length of the shortest noncontractible loop. In 1983, M. Gromov established the first systolic inequality for manifolds of dimension at least three. Namely, he proved that the systole of every essential Riemannian n-manifold with unit volume is bounded from above by a constant depending only on n. In this talk, we will present new systolic inequalities for aspherical manifolds of dimension greater than three.