The meter-per-second precision achieved by today velocimeters enables the search for 1 - 10 ~ { } { M _ { \oplus } } planets in the habitable zone of cool stars . This paper reports on the detection of 3 planets orbiting GJ 163 ( HIP19394 ) , a M3 dwarf monitored by our ESO/HARPS search for planets . We made use of the HARPS spectrograph to collect 150 radial velocities of GJ 163 over a period of 8 years . We searched the RV time series for coherent signals and found 5 distinct periodic variabilities . We investigated the stellar activity and casted doubts on the planetary interpretation for 2 signals . Before more data can be acquired we concluded that at least 3 planets are orbiting GJ 163 . They have orbital periods of P _ { b } = 8.632 \pm 0.002 , P _ { c } = 25.63 \pm 0.03 and P _ { d } = 604 \pm 8 days and minimum masses m sini = 10.6 \pm 0.6 , 6.8 \pm 0.9 , and 29 \pm 3 M _ { \oplus } , respectively . We hold our interpretations for the 2 additional signals with periods P _ { ( e ) } = 19.4 and P _ { ( f ) } = 108 days . The inner pair presents an orbital period ratio of 2.97 , but a dynamical analysis of the system shows that it lays outside the 3:1 mean motion resonance . GJ 163c , in particular , is a super-Earth with an equilibrium temperature of T _ { eq } = ( 302 \pm 10 ) ( 1 - A ) ^ { 1 / 4 } Â K and may lie in the so called habitable zone for albedo values ( A = 0.34 - 0.89 ) moderately higher than that of Earth ( A _ { \oplus } = 0.2 - 0.3 ) .