We present the first results of a galaxy redshift survey, ESO Slice Pr
oject (ESP), are are accomplishing as an ESO Key-Project over about 30
square degrees in a region near the South Galactic Pole. The limiting
magnitude is b(J)=19.4. Observations were completed in October 1994 a
nd almost ad the data obtained so far were reduced, providing 3195 gal
axy redshifts. We present some preliminary results concerning the larg
e scale galaxy distribution and their luminosity function.