A parallel branch wire element which is attached parallel to the antenna element works as a short-circuited coaxial stub used as a loadings element of the antenna. In this paper, the triangular loop antenna with the parallel branch wire was analyzed. The input impedance and the resonance frequency were obtained by using the moment method for the analysis. Calculated results are found to be in good agreement with measurements. As a result, the operation and the effect of the parallel branch wire were clarified. And, the resonance frequency of the triangular loop antenna was able to be reduced up to 64% by the parallel branch wire.