• A novel truncated-square honeycomb reinforced hollow pyramidal lattice sandwich structure (TSH-HP) was proposed. • The peak strength of TSH-HP is higher than that of hollow pyramid lattice structure with the same mass. • With increasing of temperature, compressive modulus, peak strength and energy absorption performance of TSH-HP decrease significantly. • TSH-HPs exhibit superiority in the specific strength on the material selection map. This paper focuses on the influence of temperatures on the out-of-plane compressive performance of novel truncated-square honeycomb reinforced hollow pyramidal lattice sandwich structure (TSH-HP) by combining theoretical prediction, experiment and finite element analysis. As the temperature go up from 25 ℃ to 450 ℃, compressive modulus, initial failure strength, peak strength and energy-absorption performance of TSH-HPs prepared by selective laser melting (SLM) techniques decrease by 46.2%, 46.9% 42.3% and 46.3%, respectively, which are in well agreement with experiment and numerical simulation. In addition, the initial failure strength and peak strength of TSH-HPs are 5–10% higher than those of hollow pyramid lattice structure (HP) with same mass under different temperature. Compared with competing cellular materials, TSH-HPs exhibit superiority in the specific strength on the material selection map. [ABSTRACT FROM AUTHOR]