Hot-wire anemometry (HWA) is used for measuring velocity fluctuations such as turbulent flows. It is generally operated in the following three modes; constant-temperature (CT), constant-current (CC) and constant-voltage (CV) ones. The constant-temperature anemometer (CTA) has long been the mainstream of normal turbulent flow measurement, while the others are rarely used in the measurement because of their insufficient response speed. However, since the constantcurrent anemometer (CCA) can be composed of simple circuits, the HWA will be realized at quite a low cost. In this study, the response characteristics of the CCA were theoretically analyzed, and a sophisticated compensation scheme based on the analysis has been proposed. The scheme is experimentally tested in a turbulent wake flow formed behind a cylinder. As a result, it has been confirmed that the root-mean-square (rms) velocities and the power-spectrum distributions compensated by the present scheme agree well with those measured with the CTA. Hence, the CCA provides reliable measurement of turbulent velocity fluctuations.