This paper analyzes, the transient response of one-dimensional axisymmetric quasi-static coupled thermoelastic problems. Using the Laplace transform with respect to time, the general solutions of the governing equations are obtained in the transform domain. Also presented are the numerically transient distributions of stress and temperature increments in the real domain for the case of an infinitely long annular cylinder. The inversion to the real domain is obtained by using a Fourier series technique and matrix operations simultaneously, therefore no thermoelastic potentials are introduced in the solution process. It is shown that the coupling effect behaves as a clear lag in both the stress and the temperature distributions.