Based on the linear non-dispersive theory, the reflection of a Converging Cylindrical long wave, of wave length L, onto a Cylindrical shelf, of radius r = a and positive or negative height A h relative to an otherwise flat bottom, is study analitically. It is found that these linear approximation agrees well with the existing non-linear numerical solution when the ratio a/L is large enough. It is also found that these two-dimensional reflection process is the contrary of the corresponding one-dimensional case, since the solution of these problem gives a negative reflected wave for a positive step and a positive reflected wave for a negative step.