The invention discloses a heater of a cooling tube row coupled with a phase-change heat storage box. The heater comprises a phase-change heat storage heating assembly and a control assembly. The phase-change heat storage heating assembly comprises a heater shell, a phase-change heat storage box, a phase-change medium, a heater body, the cooling tube row, a linkage valve, a grating radiation plate and an exhaust fan. The phase-change heat storage box is fixedly installed in the heater shell. The phase-change heat storage box is filled with the phase-change medium. The heater body is arranged in the phase-change heat storage box and used for heating the phase-change medium. The cooling tube row is arranged at the upper end of the phase-change heat storage box and connected with the phase-change heat storage box through the linkage valve. The control assembly comprises a controller, a temperature sensor, a temperature control switch and a time relay. Electricity of a power grid in the trough period can be used so that the heater can be used for heating and heat storage, and when heat needs to be supplied during the peak period of the power grid, accumulated heat is discharged to maintain indoor temperature. The heater has the advantages of being reasonable in design, simple in structure, little in electricity consumption, free of pollution and the like, energy resources are reasonably used, and the heater is convenient to use, economical and environmentally friendly.