Monthly, annual, and long-term mean streamflow were estimated for streams in the Duchesne River basin by use of the monthly measurement method. Monthly measurements were attempted at 44 sites in the basin during the 1971 and 1972 water years. Some measurements could not be made because some sites were not accessible at all times, some of the streams did not have flow at all times, or some of the streams could not be measured during high flow. For those sites at which measurements could not be made, monthly discharge was determined by an alternative method involving the use of daily hydrographs for nearby gaging-station sites.