The surface waves propagating in a cylindrical thin plasma layer are studied. The cylindrical plasma layer is sandwiched between two regions of different dielectric constants. The linear dispersion relation is obtained by starting from the Maxwell’s equations and using the appropriate boundary conditions. It is found that a hybridization occurred between the plasmonic oscillations and the acoustic excitation, which leads to a new surface mode in the present plasma system. Furthermore, it can be seen that the wave frequency is significantly tunable due to the optimization of the plasma parameters and the cylindrical geometry. The frequency of surface mode can be enhances by increasing the Fermi speed at the lower frequencies to reach to the light speed line. Using the present model of plasma layer not only leads to a new coupling between the plasmonic oscillations and the acoustic excitation, but also provide a new mode which is more controllable due to adding the model parameters. It should be applicable for understanding the basic characteristics of plasma antenna, plasma-sensing based waveguide and enantiomeric sensing devices.