In this paper, we described the characteristics of negative group velocities of Lamb-type waves in a glass/water/glass structure controlled by the thickness of the water layer. Lamb waves in an elastic plate have negative group velocities. It is known that the range of existence of negative group velocities depends on the Poisson's ratio of the elastic plate. However, in the case of Lamb waves, their negative group velocities depend on the physical parameters of each material; therefore, we fabricated a structure such that the negative group velocities of Lamb waves are controllable without the limitation of the parameters of each material. The waves in such a structure are referred to as the Lamb-type waves. Using numerical calculations, we determined that the negative group velocities of the Lamb-type waves can be varied by changing the geometric parameters, and the negative group velocities are changed although the frequencies are fixed. Additionally, we found that the Lamb-type waves have various characteristics corresponding to the propagation modes.