  We calculate the complete $T$ matrices of the elastic nucleon-nucleon
scattering up to third order in SU(3) heavy baryon chiral perturbation theory.
The phase shifts with orbital angular momentum $L\geq 2$ and the mixing angles
with $J\geq 2$ are evaluated by using low-energy constants that were extracted
from the meson-baryon analysis. It turns out that our prediction is consistent
with the empirical phase shifts and mixing angles data, and also the results
from SU(2) heavy baryon chiral perturbation theory. The errors from the
low-energy constants are analyzed in detail. Our calculation provides reliable
evidence that the nucleon-nucleon interaction calculated in SU(3) heavy baryon
chiral perturbation theory leads to reasonable predictions.
