A danger detector configured as a point detector includes an alarm housing with an alarm cover, a non-contact heat radiation sensor that is sensitive to heat radiation in the infrared range, and a treatment unit configured to determine and emit a temperature value derived from the detected heat radiation for the ambient temperature in the surroundings of the danger detector and/or an alarm, in the event that the currently determined temperature value exceeds a predetermined temperature comparison value. The heat radiation sensor is arranged in the alarm housing and is configured to optically detect the ambient temperature on the inner side of the alarm cover. The heat radiation sensor may be a thermopile designed as an SMD component.