We report the recent progress in the studies of D-wave heavy quarkonia
production from gluon fragmentation at the Tevatron and in Z^0 decays, and the
D-wave charmonia production in B decays. We show that the color-octet
contributions are of crucial importance to the production of D-wave quarkonia.
Signals, as strong as that for J/\psi and \psi^\prime, should be seen for the
D-wave charmonium in the processes. These will provide a test of the
color-octet production mechanism.