This paper presents a novel approach to reducing the complexity of the transient linear circuit analysis for a hybrid structured clock network. Topology reduction is first used to reduce the complexity of the circuits and a preconditioned Krylov-subspace iterative method is then used to perform the nodal analysis on the reduced circuits. By proper choice of the simulation time step based on Elmore delay model, the delay of the clock signal between the clock source and the sink node and the skews between the sink nodes can be obtained efficiently and accurately. Our experimental results show that the proposed algorithm is two orders of magnitude faster than HSPICE without loss of accuracy and stability and the maximum error is within 0.4% of the exact delay time.