  Recently, Belle and BaBar Collaborations observed surprising suppression in
the endpoint $J/\psi$ spectrum, which stimulates us to examine the endpoint
behaviors of the $e^+ e^- \to J/\psi gg$ production. We calculate the $J/\psi$
momentum and angular distributions for this process within the framework of the
soft-collinear effective theory (SCET). The decreasing spectrum in the endpoint
region is obtained by summing the Sudakov logarithms. We also find a large
discrepancy between the NRQCD and SCET spectrum in the endpoint region even
before the large logarithms are summed, which is probably due to the fact that
only the scalar structure of the two-gluon system is picked out in the leading
power expansion. A comparison with the process $\Upsilon \to \gamma gg$ is
made.
