By means of Zp-index and its pseudo-index, we study the existence of multiple subharmonic solutions with prescribed minimal period for nonautonomous su-perquadratic Hamiltonian system Jz = H2(z(t),t),z(0) = z(2πp) where H(z, t + 2πp) = H(z, t), t ∈ R, z∈ R2N. Under hypotheses H1-H4, there are at least kN distinct soultions with minimal period 2-πp.
