The effect of a combination of control rods and rotations on the fluid induced vibration (FIV) response of pipes with internal flow is numerically investigated. A numerical simulation method for a pipe with internal flow was established according to a strip theory. The results show that the control rod arrangement does not change the vortex shedding on the noninternal flow pipe. As the rotation rate α increases, the pipe vortex layer is deflected, increasing the influence of the control rod. The pipe vortex shedding stops at α = 0.75, and the dimensionless cross-flow amplitude reduction (RAy) reaches 0.95. For the pipe with an internal flow velocity of V = 1 m/s, the vortex shedding stops earlier. As the α increases from 0 to 0.5, the RAy of noninternal flow pipe increases from 0.07 to 0.85. The internal flow has an enhanced effect on FIV suppression. The control rod–rotation combination provides more stable FIV suppression of the pipe than the two-dimensional elastically mounted cylinders.