The thermoplastic contact and charge properties of lunar dust particles notably affect their mechanical properties, such as contact, collision, adhesion, transport, and wear properties. Contact forces and deformation of these particles are influenced by temperature differences between lunar dust particles and the surfaces of contact materials, caused by extreme temperature fluctuations on the lunar surface. Moreover, the geometric characteristics of particles affect their charge distribution and quantity. However, research on typical sharp lunar dust particles is limited. Herein, the thermoelastoplastic contact and charge characteristics of nonrotationally symmetric sharp lunar dust particles are investigated. Contact areas, thermal loads, indentation depths, and residual displacements during normal contact between lunar dust particles and an elastic-plastic half-space are determined at various temperature differences. In addition, expressions for the self-capacitance and charge quantity of lunar dust particles are proposed. Validity and accuracy of the developed model are verified via experimental data and numerical results. Furthermore, the effect of temperature differences on the contact forces, deformation, and dynamic characteristics of lunar dust particles is analyzed, and thermal load results are compared with the results obtained using other contact models. In addition, the variations in charge and charge-driven forces (e.g., Coulomb forces) with particle size are investigated. Overall, this study provides an important theoretical reference for utilizing in situ resources on the lunar surface.