Proxy blind signature was applied to the electronic paying system, electronic voting system, mobile agent system, security of internet, et al. A quantum proxy weak blind signature scheme is presented based on the correlation of Einstein-Padolsky-Rosen (EPR) pairs and controlled teleportation. Comparing the traditional proxy blind signature schemes based on computing complexity, the scheme uses the physical characteristics of quantum mechanics to implement message blinding, signature and verification, so it could guarantee not only the unconditionally security of the scheme but also anonymity of the message owner.