In this article, the design and test of both a K-band dual-mode bandpass filter (BPF) pair and a K-band triple-mode BPF are presented based on N-mode temporal coupledmode theory (CMT). The expressions of transmission and reflection responses are analytically derived. All the parameters in the expressions have clear physical meanings and are easily optimized to reach the required filter performance. Aided by eigenmode simulations, concrete structures of the three integrated BPFs are designed and optimized to approach the calculated physical parameters. After the fabrications and measurements of the three BPFs, extended upper/lower stopband with high stopband rejections are achieved, and by increasing the number of resonant modes, improved frequency selectivity and better passband flatness are obtained. The analytical analysis well predicts the simulation and measurement results, which provides an efficient way for BPF designs. V C 2016 Wiley Periodicals, Inc. Int J RF and Microwave CAE 00:000-000, 2016.