A verifiable timed signature (VTS) scheme allows one to time-lock a signature on a known message for a given amount of time T such that after performing a sequential computation for time T anyone can extract the signature from the time-lock. Verifiability ensures that anyone can publicly check if a time-lock contains a valid signature on the message without solving it first, and that the signature can be obtained by solving the same for time T. This study first proposes the notion of verifiable attribute-based timed signatures (VABTS) and gives an instantiation VABTS further. The instantiation VABTS scheme can not only simultaneously support identity privacy-preserving, dynamic user revocation, traceability, timing, but also solve the problem of key escrow in attribute-based scheme. In addition, VABTS has many applications. This study lists two application scenarios of VABTS: building a privacy-preserving payment channel network for the permissioned blockchain and realizing a fair privacy-preserving multi-party computing. Finally, it is proved that the instantiation VABTS scheme is secure and efficient via formal security analysis and performance evaluation.