An electrical heating device (1) includes a housing (2, 102) having a fluid inlet (3) for the intake of a fluid to be heated into the housing (2, 102) and having a fluid outlet (4) for the discharge of the fluid from the housing (2, 102). A flow channel (5) for the fluid is formed between the fluid inlet (3) and fluid outlet (4), and at least one heating instrument (6, 105, 205) extends into the flow channel (5) in the housing (2, 102). This heating instrument has a sleeve (7, 207) that surrounds an interior of the heating instrument (6, 105, 205) in a fluid-tight way. At least one heating element (8, 208) is arranged in the sleeve (7, 207), and at least one sensor element (9, 109, 209) is arranged in the sleeve (7, 207) for monitoring the temperature of the at least one heating element (8, 208).