Results are presented for the spin-spin correlation parameters C,y,y and C,, for free np elastic scattering at neutron beam kinetic energies of 484, 634, 720, and 788 MeV and c.m. angles between 25" and 80". The measurements were performed with a polarized neutron beam and a polarized proton target. These are the first measurements of this type to be reported in the forward angular region with a free polarized neutron beam. The observables Css and CLs are both small at all energies, except for CLs at 788 MeV, which is larger than phase-shift analysis predictions by more than one standard deviation for most of the measured points.