During the melting of a solid, there is no change in the kinetic energy of molecules.
As we provide the heat to the solid for its melting, the heat energy will help in breaking the strong intermolecular forces present between the solid substances without changing the temperature
The phenomenon is known as latent heat of fusion.
As strong intermolecular forces between solid start breaking the atom or molecules of solid start getting apart and the distance between them increases.
All of the heat energy is went up in breaking the bonds in solid and melting it.
So, there will be no change in their kinetic energy.
However, it will change after complete melting.
Final statement: True, during the melting of a solid, there is no change in the kinetic energy of molecules.