Polychromatic-vector solitons are investigated numerically in weak nonlocal nonlinear Kerr media. Results show that such solitons can be formed and propagate stably in this media with lower input power. Soliton spectrum width increases with increasing of wavelength and is independent of their input power spectra. However, soliton intensity is decreased with increasing of wavelength when the input power spectra are equal. Furthermore it is found that this character is distinct comparing to that in strongly nonlocal cases.