We use the t-expansion method to calculate the hadronic spectrum of Hamiltonian lattice QCD with two massless dynamical quarks within the Kogut-Susskind formulation. We compute the energy density of the vacuum and the mass of the scalar 0++ state, which turns out to have about the same value as in the pure-glue calculation. We calculate the masses of the lowest-lying mesons, i.e., and , and the nucleon. We show that the quark-antiquark component wins over the nucleon-antinucleon component of the meson in the crossover region. On the basis of an H7 expansion we find the mesons to be degenerate. The high mass of the pion is due to the lack of continuous chiral symmetry in this model. The ratios of to N masses are of the right magnitude.