Based on two-dimensional solar images obtained with the Siberian Solar Radio Telescope and the Nobeyama Radio Heliograph and using YOHKOH soft X-ray images, we investigate bright coronal points. The principal microwave emission mechanism of these points is shown to be the thermal bremsstrahlung of an optically thin plasma. The fact that, in several cases, bright coronal points do not coincide at two wavelengths can be explained by imaging peculiarities of the Nobeyama Radio Heliograph rather than by physical factors.