The invention discloses a constant-temperature stress corrosion testing device and method for an FRP (fiber reinforced polymer) tendon. The device comprises a stretch-draw frame, threaded anchors, a three-way pipe, a spring, a counter force frame, a lifting jack, a force sensor and a stretch-draw anchor rod. Certain stretch-draw stress is applied to the FRP tendon by utilizing the stretch-draw frame, the counter force frame, the lifting jack and the force sensor, and the FRP tendon is fixed by a nut, and the stress loss is compensated by the compression spring, and the constant stress level can be kept for a long time. A corrosion solution soaking environment is provided through a method that a corrosion solution is filled into a home-made PVC pipe device fixed in the middle of the FRP tendon, so that the FRP tendon is in the corrosion solution soaking environment for a long time. After the corrosion solution is filled completely and the prestress is stretched and drawn, the whole stretch-draw frame for stretching and drawing the FRP tendon is put into a constant-temperature constant-humidity test box so as to guarantee the long-term constant-temperature environment. After the constant-temperature corrosion, the device is unloaded through the steps the same with the stretch-draw step, the FRP tendon is taken down for a stretch test. The method comprises the following steps of: anchoring the FRP tendon, fixing through stretching and drawing, corroding at constant temperature, unloading and carrying out the stretch-draw test.