A sample support, which is configured in the form of a titre plate or chip. has a plastic support plate and several recesses for receiving samples. Said recesses are sealed with a glass plate. According to the present disclosure, a support core surrounding the recesses is embedded in the support plate in order to prevent contraction during the process for producing the support plate. The support core is preferably a metal plate with areas which have not been extrusion-coated, for use as contact surfaces. Heat can be introduced into the titre plate through these contact surfaces.