Abstract: A process for bleaching or bleach-fixing an imagewise exposed silver halide photographic material is provided, comprising developing in a color developing solution and bleaching or bleach-fixing in a processing composition having a bleaching capacity containing as a bleaching agent a metal chelate compound of a chelate-forming compound or salt thereof and a metal ion selected from the group consisting of Fe(III), Mn(III), Co(III), Rh(II), Rh(III), Au(II), Au(III) and Ce(IV), the chelate-forming compound or salt thereof is represented by formula (I): ##STR1## wherein G.sub.1 and G.sub.2 each represents a carboxyl group, a phosphono group, a sulfo group, a hydroxyl group, a mercapto group, an aryl group, a heterocyclic group, an alkylthio group, an amidino group, a guanidino group or a carbamoyl group; L.sub.1, L.sub.2 and L.sub.