The combination of piezoelectricity with other unique properties (like topological insulating phase and intrinsic ferromagnetism) in two-dimensional (2D) materials is much worthy of intensive study. In this work, the piezoelectric properties of 2D topological insulators InXO (X=Se and Te) from monolayer InX (X=Se and Te) with double-side oxygen functionalization are studied by density functional theory (DFT). The large piezoelectric strain coefficients (e.g. d11=-13.02 pm/V for InSeO and d11=-9.64 pm/V for InTeO) are predicted, which are comparable and even higher than ones of many other familiar 2D materials. Moreover, we propose two strategies to enhance piezoelectric response of monolayer InXO (X=Se and Te). Firstly, the biaxial strain (0.94-1.06) is applied, and the d11 (absolute value) is increased by 53%/56% for monolayer InSeO/InTeO at 1.06 strain, which is due to increased e11 (absolute value) and reduced C11 − C12. In considered strain range, InXO (X=Se and Te) monolayers are always 2D topological insulators, which confirm the coexistence of piezoelectricity and nontrivial band topology. Secondly, a Janus monolayer In2SeTeO2 is designed by replacing the top Se/Te atomic layer in monolayer InSeO/InTeO with Te/Se atoms, which is dynamically and mechanically stable. More excitingly, Janus monolayer In2SeTeO2 is also a 2D topological insulator with sizeable bulk gap up to 0.158 eV, confirming the coexistence of intrinsic piezoelectricity and topological nature. The calculated d11 is -9.9 pm/V, which is in the middle of ones of InSeO and InTeO monolayers. Finally, the carrier mobilities of monolayer InXO (X=Se and Te) are obtained, which shows a rather pronounced anisotropy between electron and hole, and are almost isotropic between armchair and zigzag directions. Our works imply that it is possible to use the piezotronic effect to control the quantum transport process, ultimately leading to novel device applications in monolayer InXO (X=Se and Te), and can stimulate further experimental works.