  The e+e- decay partial width of the recently observed state, X(3872), is
estimated using the ISR data collected at the center of mass energy 4.03 GeV in
e+e- annihilation experiment by BES at BEPC. It is found that the product of
the e+e- partial width and X(3872) --> pi+ pi- J/psi decay branching fraction
is less than 10 eV at 90 % confidence level if the J(PC) of X(3872) is 1(--).
Together with the potential models and other information, we conclude that
X(3872) is very unlikely to be a vector state.
