Abstract: Two-phase flow instability in parallel multi-channel system was studied under rolling motion condition. A parallel nine-channel model was established by using the control volume integrating method based on the homogeneous flow model with considering the rolling motion condition. The gear method was used to solve the control equations. The influences of the entrance, upward sections and the heating power on the flow instability under rolling motion condition were analyzed. The marginal stability boundary (MSB) under rolling motion condition was obtained. The unstable regions occur in both low and high equilibrium quality regions. The region with low inlet sub-cooling is also unstable. In high equilibrium quality region, the multiplied period phenomenon is found and the chaotic phenomenon appears at the MSB.