| The surface-wave waveguide, based on the high impedance surface, is widely used to transform the surface-wave energy or to guide surface-waves along a constrained path. However, there still remain two issues for almost surface-wave waveguides. First, the guided-wave path is fixed, which will prevent changing the guided-wave path in real-time situation. Second, the working frequency band is usually high, which is in X band or higher frequency range. The two issues have limited the large-scale applications of the surface-wave waveguide, especially for the first one, which means that one has to design a waveguide for every guided-wave path, leading to the high cost. In this paper, a high-impedance square cell with petal slots attached to four varactors (SMV1408) is designed, its impedance value increases from j390Ω to j1710Ω in S band by decreasing the reverse bias voltage of varactor from 20V to 0.2V. Based on this tunable cell, we propose the concept of the reconfigurable surface-wave waveguide and its feasibility has been proved by HFSS. In the simulation, the proposed waveguide can provide multi-guided paths and the paths can be adjusted in real time; meanwhile, to prevent the energy leak of surface-waves, the guide-wave path is optimized by our previous achievements, and the effectiveness of our suggestions is verified well by the simulation results.