The energy of random atomic and molecular motion is called thermal energy.
Explanation
Thermal energy arises from the kinetic energy of atoms and molecules moving randomly within matter. It is present in all matter above absolute zero temperature, where the particles possess energy due to their random motion. Thermal energy is distinct from temperature (which measures the average energy of that motion) and from heat (which is the transfer of thermal energy between objects).
Thus, the correct term for the energy of random atomic and molecular motion is thermal energy.