For any decomposition of a Lie superalgebra G into a direct sum G=H circle plus E of a subalgebra H and a subspace E, without any further resctrictions on H and E, we construct a nonlinear realization of G on E. The result generalizes a theorem by Kantor from Lie algebras to Lie superalgebras. When G is a differential graded Lie algebra, we show that it gives a construction of an associated L-infinity-algebra.