  We report on the measurement of $\rm{J}/\psi$ production in the dielectron
channel at mid-rapidity (|y|<1) in p+p and d+Au collisions at $\sqrt{s_{NN}}$ =
200 GeV from the STAR experiment at the Relativistic Heavy Ion Collider. The
transverse momentum $p_{T}$ spectra in p+p for $p_{T}$ < 4 GeV/c and d+Au
collisions for $p_{T}$ < 3 GeV/c are presented. These measurements extend the
STAR coverage for $\rm{J}/\psi$ production in p+p collisions to low $p_{T}$.
The $<p_{T}^{2}>$ from the measured $\rm{J}/\psi$ invariant cross section in
p+p and d+Au collisions are evaluated and compared to similar measurements at
other collision energies. The nuclear modification factor for $\rm{J}/\psi$ is
extracted as a function of $p_{T}$ and collision centrality in d+Au and
compared to model calculations using the modified nuclear Parton Distribution
Function and a final-state $\rm{J}/\psi$ nuclear absorption cross section.
