Abstract. Motivated by the two charged bottomonium-like resonances Z b (10610) and Z b (10650) newly observed by the Belle collaboration, the possible molecular states composed of a pair of heavy mesons, BB, BB * , B * B * , B sB , etc (in S-wave), are investigated in the framework of chiral quark models by the Gaussian expansion method. The bound states BB * and B * B * with quantum numbers I(J P C ) = 1(1 +− ), which are good candidates for the Z b (10610) and Z b (10650) respectively, are obtained. Other three bound states BB * with I(J P C ) = 0(1 ++ ), B * B * with I(J P C ) = 1(0 ++ ), 0(2 ++ ) are predicted. These states may be observed in open-bottom or hiddenbottom decay channel of highly excited Υ. When extending directly the quark model to the hidden color channel of the multi-quark system, more deeply bound states are found. Future experimental search of those states will cast doubt on the validity of applying the chiral constituent quark model to the hidden color channel directly.