The objective of present work is to investigate the behavior of basalt/epoxy composite laminate under impact and blast loads at various temperatures while considering different ply-groups and volume fractions. Micromechanical strength prediction and bridging model is used to compute the properties for laminate at various temperatures. An elastic–plastic continuum damage mechanics (CDM) based numerical model is implemented via VUMAT subroutine in ABAQUS with failure criteria representing failure modes in fiber and matrix, delamination, and cohesive behavior. The results are validated with simulated and experimental results available in the literature. The response of laminate is discussed in terms of displacement, damage modes, and energy absorption.