Recent radial-velocity measurements obtained with the CORALIE spectrograph on the 1.2-m Euler Swiss telescope at La Silla unveil the presence of a new Jovian-mass Hot Jupiter around HD 73256 . The 1.85-M _ { Jup } planet moves on an extremely short-period ( P = 2.5486 d ) , quasi-circular orbit . The best Keplerian orbital solution is presented together with an unsuccessful photometric planetary-transit search performed with the SAT Danish telescope at La Silla . Over the time span of the observations , the photometric follow-up of the candidate has nevertheless revealed a P \simeq 14-d photometric periodicity corresponding to the rotational period of the star . This variation as well as the radial-velocity jitter around the Keplerian solution are shown to be related to the fair activity level known for HD 73256 .