A thermoplastic molding compositions having improved stress cracking resistance is disclosed. The composition contains A) 40 to 99.5 parts by weight of at least one branched resin selected from a first group consisting of aromatic polycarbonate and polyestercarbonate and B) 0.5 to 60 parts by weight of graft polymer containing a grafting shell and a grafting base, said grafting base being other than polybutadiene rubber. The structure of the branched resin contains at least one residue of a branching agent selected from among tri-functional phenolic monomer and tetra-functional phenolic monomer.