This work presents the results of a thermal balancing, heat removal and supply mechanism via high temperature heat spreaders integrated to the solid oxide cell (SOC) stacks. Planar alkali metal heat pipes for almost isothermal two‐directional heat transfer at high power densities are incorporated into the metal interconnector structure of SOC‐short stacks. The objective of this concept is a temperature gradient shrinking within the stacks and a thermal control of SOFC system with a largely reduced additional air cooling. Subsequent to the development of planar heat pipe interconnectors with thickness down to 4 mm and heat transfer rates of up to 150 W per cm2 cross sectional area at isothermal operation, this paper describes their integration into the SOC stack structure. Therefore, short stacks with incorporated planar heat pipes are designed and built up for evaluation. The experimental study focuses on the influence of planar heat pipe interconnectors on temperature distributions within short stacks under various thermal load conditions. The experiments demonstrate the beneficial effects on thermal control of the stack structure and allow a first estimation of their amplitudes.