The fluid flow and heat transfer are investigated in high-performance heat exchangers with Schwarz-P and Gyroid structures using numerical and experimental approaches. This study was carried out first for laminar flow (Re = 10–100, Pr = 3–6) numerically and second for turbulent flow (Re = 1850–5500, Pr = 3.5) numerically and experimentally. All simulations were performed with COMSOL software to investigate the flow patterns, thermal performance, and pressure drop in heat exchangers based on the Schwarz-P and Gyroid with various unit cell numbers between 1 and 64. For low Re simulations, it is observed that the heat transfer coefficient and performance evaluation coefficient (PEC) increase with increasing the number of cells (or decreasing the cell size) in a constant volume. By redefining the Reynolds number based on the hydraulic inlet diameter and the velocity at the inlet of the structure, the Colburn and friction coefficients become independent of the structure's density. Correlations are provided to predict these coefficients. The results show that the Gyroid with 64-unit cells provides an average of 24 % (maximum 33 %) enhancement in the PEC and 40 % (maximum 46 %) Nusselt number improvement over the tube banks. On the contrary, the Schwarz-P does not have an improvement in PEC or Nusselt number compared to the tube bank. For the high Re study, several prototype heat exchanger samples based on the Schwarz-P and Gyroid structures were fabricated utilizing the FDM 3D-printing technique with no support structures to show that these heat exchangers could be manufactured. The SLM method was also used to fabricate a Gyroid heat exchanger for use in the experimental studies. The performance of a Gyroid heat exchanger made of AlSi10Mg has been tested for input flow rates ranging from 1 to 3 L per minute. For numerical simulation, the k-epsilon and K–W-SST turbulence models are employed and their results are compared with the present experimental data. It is found that the results of the K–W-SST model provide better agreement with experimental ones.