A leak detecting apparatus is provided which can detect leak of a liquid injected through an injection needle into a blood vessel of a human body near its surface with high accuracy. The apparatus emits a light ray in a predetermined wavelength band containing a particular wavelength at which the reflectivity for the liquid is lower than the reflectivity for internal tissues of the human body, to the human body at a position thereof where the injection needle is inserted, and detects the light ray in the wavelength band reflected inside the human body. The apparatus measures the average intensity of the detected light ray in the wavelength band and the intensity of the detected light ray at the particular wavelength to determine an occurrence of leak when the ratio of the intensity at the particular wavelength to the measured average intensity in the wavelength band is lower than a predetermined reference value. Variations in human body or physical condition affect the whole of the wavelength band but have no effects on the relative relationships between the wavelength band and the particular wavelength. Thus, the leak of the liquid can be detected without being affected by variations in human body or physical condition.