Comet C/2008 J5 (Garradd) was discovered on May 13, 2008 by G.J. Garradd (Siding Spring Survey). The cometary nature of the magnitude 16 object was confirmed by C. Jacques and E. Pimentel (CEAMIG-REA Observatory), by J.C. Pelle and N. Teamo (Tiki Observatory) and by R. Ligustri (RAS Observatory). The preliminary orbital elements of the comet C/2008 J5 (Garradd) indicate a perihelion passage on May 3, 2008 at a distance from 2 AU from the Sun.