Disclosed are a constant temperature heating device and fluid heating electrical appliances with the same. The constant temperature heating device comprises a water pump, a heating boiler, a liquid delivery pipeline, and a control circuit. The water pump and the heating boiler are connected through the liquid delivery pipeline, respectively. The water pump is used for pumping liquid into the heating boiler under the control of the control circuit, so as to heat the liquid through the heating boiler. The control circuit comprises an electronic control switch and a controller. The electronic control switch is arranged on a power supply circuit of the heating boiler, and the controller is used for carrying out heating control of the liquid in the heating boiler through the electronic control switch.