  We present the results of a determination of the galaxy luminosity function
at ultraviolet wavelengths at redshifts of $z=0.0-0.1$ from GALEX data. We
determined the luminosity function in the GALEX FUV and NUV bands from a sample
of galaxies with UV magnitudes between 17 and 20 that are drawn from a total of
56.73 deg^2 of GALEX fields overlapping the b_j-selected 2dF Galaxy Redshift
Survey. The resulting luminosity functions are fainter than previous UV
estimates and result in total UV luminosity densities of 10^(25.55+/-0.12) ergs
s^-1 Hz^-1 Mpc^-3 and 10^(25.72+/-0.12) ergs s^-1 Hz^-1 Mpc^-3 at 1530 Ang. and
2310 Ang., respectively. This corresponds to a local star formation rate
density in agreement with previous estimates made with H-alpha-selected data
for reasonable assumptions about the UV extinction.
