A point-matched time domain finite element method is proposed to analyze planar circuits of arbitrary shape. In this method, the wave propagation inside the circuit is simulated numerically by solving a boundary value problem at each time step starting from t = 0. To properly model ports with matched loads, absorbing boundary conditions are used. The excitation can be either a Gaussian pulse or a sinusoidal input. The method is illustrated with several examples of two-port circuits with results shown in both time and frequency domain.