Two dimensional (2D) gamma-boron ({\gamma}-B28) thin films have been firstly reported by the experiments of the chemical vapor deposition in the latest study [Tai et al., Angew. Chem. Int. Ed. 54, 1-6 (2015)]. However, their mechanical properties are still not clear. Here we predict the superhigh moduli (1460 GPa at 1 K and 744 GPa at 300 K) and the tension-induced phase transition of monolayer {\gamma}-B28 along a zigzag direction for large deformations at finite temperatures using molecular dynamics (MD) simulations. The new phase can be kept stable after unloading process at these temperatures. The predicted mechanical properties are reasonable with our results from density functional theory. This study provides physical insights into the origins of the new phase transition of monolayer {\gamma}-B28 at finite temperatures.