Ceramic-matrix composites (CMCs) exhibit superior specific strength and modulus at elevated temperatures, making them ideal for hot-section components in both commercial and military aeroengines, e.g., combustor liner, turbine shroud, exhaust mixer and center-body, etc. To ensure the operational reliability and safety of CMC components, it is essential to characterize the macroscopic mechanical behavior of CMCs, e.g., tensile, fatigue, creep, etc., and devise methods and tools for predicting the damage, fracture, fatigue, and creep of CMC components. In this chapter, the micromechanical modeling investigations on the macromechanical behavior of CMCs, including the tensile, fatigue, and creep behavior of CMCs, were conducted. Effects of composite’s constitutive properties and damage stage on damage, fracture, fatigue, and creep behavior were analyzed. Relationships between the composite’s internal multiple damage mechanisms, macromechanical behavior, and damage evolution were established. Time- and load-dependent strength and lifetime evolution of CMCs were analyzed. The developed micromechanical models can be adopted to predict the damage evolution in CMCs and design CMCs hot-section components in aeroengines.