The embedding theorem is established for Z-graded transitive modular Lie superalgebras (i) g0(≌)(p)(g～1) and go-module g-1 is isomorphic to the natural (p)(g-1)-module;(ii) dim g1 =2/3n(2n2 + 1), where n =1/2 dim g-1.In particular, it is proved that the finite-dimensional simple modular Lie superalgebras satisfying the conditions above are isomorphic to the odd Hamiltonian superalgebras. The restricted Lie superalgebras are also considered.