The thermeal costriction resisteance in the wall of a tube-plate heat excchanger in analyzed in this study. Four heat exchanger models, are considered; a flat plate with parallel tubes aqual spaced on one of the surfaces; two hollow cylindrs, one with tube uniformaly distributed axially over the inside surface and the other with tubes uniformly distributed circumferencially: and finally a hollow shere with a parallel distribution of tubes uniformly spaced on the inside surface. In each of the geometries it is assumed that the heat flux from the tubes is uniform. In addition, the condition of covective heat transfer from the tubes is considered for the case of the flat plate. The outer surface of the plate is cooled convectively. The results show a considerable increase in the therminal resitance of teh when the ratios (tube midth/tube spacing) and/or ( wall thickness/tube spacing) decreases, giving rise to the pincirg of the lines of heat flux through the plate. This resistance is shown also to be an increasing fuction of the therminal resistance of the fluid that flows in the tubes. Using the results of the rectangular model (flat plate) as a reference, it is found that the resistance for the cylindrical models differs model differs by up to 3 times greater. As an example of the application of the data obtained in this study, a desing of a deep seen cylindrical vessel made of titanium with axially distributed tubes is considered.