It turns northwest and flows to the southwest to the Ross Ice Shelf, which it enters between Reynolds Nunatak to the west and Mount Fridovich to the east.

According to Sailing Directions for Antarctica (1960), "The Leverett Glacier fronting the Watson Escarpment is imperfectly defined on its eastern and northern margins.

This stream, descending from the eastward plateau, produces extensive folding and other disturbances of the shelf ice between the Liv and Robert Scott Glaciers, and this broken area likely extends some distance northwestward.

The inbound South Pole Traverse (SPoT) in December 2013 found an open crevasse about 4 kilometres (2.5 mi) long and 15 metres (49 ft) wide near the transverse route.

Named by US-ACAN for Floyd W. Price, personnel-man with USN Squadron VX-6, who participated in Operation Deep Freeze for 5 seasons, 1963–67.

A nunatak, 1,050 metres (3,440 ft) high, located midway between the east part of Harold Byrd Mountains and Leverett Glacier.

A nunatak on the north side of Leverett Glacier, 12 nautical miles (22 km; 14 mi) northeast of Mount Gould.

A nunatak at the south side of the terminus of Leverett Glacier, 12 nautical miles (22 km; 14 mi) north of Mount Herr.