Abstract: Recently it has been shown that measurement of charge asymmetry of top pair production at LHC excludes any flavor violating Z'vector gauge boson that could explain Tevatron forward-backward asymmetry (FBA). We consider the general form of a Z' gauge boson including left-handed, right-handed vector and tensor couplings to examine FBA and charge asymmetry. To evaluate top pair asymmetries at Tevatron and LHC, we consider $B^0_q$ mixing constraints on flavor changing Z' couplings and show that this model still explain forward-backward asymmetry at Tevatron and charge asymmetry can not exclude it in part of parameters space.