An approach is provided for monitoring interface utilization. Bandwidth data for an interface is collected during a configurable time interval, and a peak utilization of the interface over the time interval is determined using a plurality of incremented policers to measure the collected bandwidth data. An implementation of which is system that includes a monitoring module configured to collect bandwidth data for an interface over a configurable time interval, a plurality of incremented policers configured to measure the collected bandwidth data, and an analysis module configured to determine a peak utilization of the interface over the time interval using the measurements of the plurality of incremented policers.