The acceleration of electrons injected in a plasma wave generated by t
he laser wakefield mechanism has been observed. A maximum energy gain
of 1.6 MeV has been measured and the maximum longitudinal electric fie
ld is estimated to 1.5 GV/m. The experimental data agree with theoreti
cal predictions when 3D effects are taken into account. The duration o
f the plasma wave inferred from the number of accelerated electrons is
of the order of 1 ps.