A method of solving uncoupled quasi-static thermoelastic problems in perforated plates is presented. As an illustrative example, a transient thermal stress problem is solved for an infinite plate containing two elliptic holes with prescribed temperatures. The following hole temperatures are considered in detail: (1) Both holes are at the same constant temperature T0; ()2) one hole is at T0, the other at −T0. Numerical results are given for minor diameter/major diameter ratios of 1 (circular hole), ½, and ⅓, and for major diameter/pitch ratios of 0 (one hole)−0.9. The results show the power and flexibility of the method.