A controllable quantum sequential multi-signature scheme is proposed, in order to realize digital signature validly and reliably in multi-user quantum environment. The signature of cryptograph and users validation are achieved by using the property of quantum entanglement swapping in Bell states; The choice of target users and the transmission of signature-information between users are implemented by controllable quantum teleportation; The quantum key and one-time pad ensures the safety of our scheme. The verification for each terminal and the center is required in our scheme, so it can position where the error happens accurately, is with strong practicability.