We investigated the ferroelastic properties of LiRbSO4 single crystals grown by the slow evaporation method. The temperature dependence of the stress–strain hysteresis was also studied. From these results, it was determined that the LiRbSO4 single crystal undergoes two phase transitions near TC2 = 200 °C and TC4 = 165 °C. In other words, the phase transition due to an external mechanical stress applied to LiRbSO4 crystals causes a transformation from one phase to another phase. Also, the shapes of the stress–strain curves in phases I, II, and V are different from those of the phases III and IV. It was confirmed by stress–strain hysteresis and Aizu classification, that LiRbSO4 crystals have ferroelastic characteristics in phases III and IV.