Small low-mass stars are favourable targets for the detection of rocky habitable planets . In particular , planetary systems in the solar neighbourhood are interesting and suitable for precise characterisation . The Red Dots campaigns seek to discover rocky planets orbiting nearby low-mass stars . The 2018 campaign targeted GJ 1061 , which is the 20 ^ { \mathrm { th } } nearest star to the Sun . For three consecutive months we obtained nightly , high-precision radial velocity measurements with the HARPS spectrograph . We analysed these data together with archival HARPS data . We report the detection of three planet candidates with periods of 3.204 \pm 0.001 , 6.689 \pm 0.005 and 13.03 \pm 0.03 days , which is close to 1:2:4 period commensurability . After several considerations related to the properties of the noise and sampling , we conclude that a 4 ^ { \mathrm { th } } signal is most likely explained by stellar rotation , although it may be due to a planet . The proposed three-planet system ( and the potential four-planet solution ) is long-term dynamically stable . Planet-planet gravitational interactions are below our current detection threshold . The minimum masses of the three planets range from 1.4 \pm 0.2 to 1.8 \pm 0.3 { M _ { \oplus } } . Planet d , with m \sin { i } = 1.68 \pm 0.25 { M _ { \oplus } } , receives a similar amount of energy as Earth receives from the Sun . Consequently it lies within the liquid-water habitable zone of the star and has a similar equilibrium temperature to Earth . GJ 1061 has very similar properties to Proxima Centauri but activity indices point to lower levels of stellar activity .