In this paper tunneling coefficient and persistent current in triple-arm quantum ring with double δ　barrier is investigated. The results show that the tunneling coefficient and persistent current show oscillating behavior with the length of the semiconductor quantum ring increasing. The tunneling coefficient and persistent current depend not only on spin orientation of tunneling electrons but also on the ferromagnetic magnetization direction. When the size of the quantum ring is fixed, the tunneling coefficient and persistent current will generate isochronal oscillation with the increasing of the AB magnetic flux. Furthermore, δ　barrier and Rashba spin-orbit interaction have different effect on the properties of the tunneling coefficient and persistent current.