The objective of this study is to investigate a thermal field in turbulent boundary layer by means of direct numerical simulation (DNS), in which the wall heating is suddenly vanished in the downstream region, i.e., the wall is heated by a constant temperature condition followed by an adiabatic condition. The present DNSs conduct the spatially developing boundary layers with heat transfer using the generation of turbulent inflow data method. In this study, a constant temperature wall followed by adiabatic wall condition is adopted for a turbulent boundary layer along a flat plate. DNS results show clearly the statistics and structure of turbulent heat transfer in a constant temperature wall followed by an adiabatic wall.