Molecular dynamics simulations of an argon nanodroplet evaporating into vacuum are carried out to investigate time development of its temperature. Configuration in vaporliquid equilibrium state of the nanodroplet with 3.6 nm in radius at 105 K is adopted as initial configuration of the evaporation. Although the temperature of nanodroplet decreases with time because of the loss of latent heat for evaporation, rapid temperature rise has been observed at about 8.0 ns. Radial distribution function of molecules inside the nanodroplet suggests that phase change from liquid to solid has been occurred. Recovery from the supercooling consequent to release of latent heat for solidification is thought to be cause of this rapid temperature rise.