Brannon Run is a 2.56 mi (4.12 km) long tributary to East Branch Oil Creek in Crawford County, Pennsylvania.

Brannon Run rises on the McLaughlin Creek divide about 2 miles east of Centerville, Pennsylvania.

Brannon Run then flows northwest through the Erie Drift Plain to East Branch Oil Creek about 1.5 miles northeast of Centerville.

Brannon Run drains 3.11 square miles (8.1 km2) of area, receives about 45.4 in/year of precipitation, has a topographic wetness index of 436.55 and is about 60% forested.

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