The present invention provides the position detector (line sensors) for outputting the information concerning the position of each distance measuring point within a picture to be taken by a camera, the multi-point photometer (correlation computer and integral controller) for outputting the incident light luminance information of each distance measuring point and the priority determiner (selector) for determining the priority of the distance measuring point according to the information concerning the position and incident light information of each distance measuring point within a picture, and is capable of executing the integral control of all the distance measuring points within a picture, determining the priority of the distance measuring point according to the luminance distribution within the picture and executing the interpolation computation for only the distance measuring points within the predetermined range of distance. Thus, the present invention provides a multi-point distance measuring camera designed for enabling a high-speed focusing based on the measured distances of a few number of distance measuring points by omitting the distance measuring operations for those distance measuring points having low priorities.