Context : Aims : The transiting planet WASP-12 b was identified as a potential target for transit timing studies because a departure from a linear ephemeris was reported in the literature . Such deviations could be caused by an additional planet in the system . We attempt to confirm the existence of claimed variations in transit timing and interpret its origin . Methods : We organised a multi-site campaign to observe transits by WASP-12 b in three observing seasons , using 0.5–2.6-metre telescopes . Results : We obtained 61 transit light curves , many of them with sub-millimagnitude precision . The simultaneous analysis of the best-quality datasets allowed us to obtain refined system parameters , which agree with values reported in previous studies . The residuals versus a linear ephemeris reveal a possible periodic signal that may be approximated by a sinusoid with an amplitude of 0.00068 \pm 0.00013 d and period of 500 \pm 20 orbital periods of WASP-12 b . The joint analysis of timing data and published radial velocity measurements results in a two-planet model which better explains observations than single-planet scenarios . We hypothesize that WASP-12 b might be not the only planet in the system and there might be the additional 0.1 M _ { Jup } body on a 3.6-d eccentric orbit . A dynamical analysis indicates that the proposed two-planet system is stable over long timescales . Conclusions :