Since 2003, the Baltimore Ravens have rushed for the most yards by a team, with 37,032 yards.

which team leads the league in rushing yards since 2003
RavensVikingsSeahawksPanthersChiefsBroncosTitansBillsEaglesPatriotsCowboys49ersJetsFalconsJaguarsTexansWashingtonPackers37.0k36.4k36.4k36.0k35.5k35.5k34.8k34.7k34.6k34.2k34.2k34.2k33.9k33.7k33.6k33.4k32.6k32.5k
TEAMGPRUSH YDSATTRUSH AVGRUSH YDS/GRUSH TD
Baltimore RavensBaltimore Ravens28837,0328,6464.3128.6260
Minnesota VikingsMinnesota Vikings28836,4048,0504.5126.4276
Seattle SeahawksSeattle Seahawks28836,3658,3034.4126.3247
Carolina PanthersCarolina Panthers28836,0318,3034.3125.1282
Kansas City ChiefsKansas City Chiefs28835,5377,9984.4123.4282
Denver BroncosDenver Broncos28835,5158,2144.3123.3245
Tennessee TitansTennessee Titans28834,7678,0104.3120.7265
Buffalo BillsBuffalo Bills28834,6938,0834.3120.5229
Philadelphia EaglesPhiladelphia Eagles28834,6177,6794.5120.2265
New England PatriotsNew England Patriots28834,2348,4284.1118.9315
Dallas CowboysDallas Cowboys28834,2137,9534.3118.8245
San Francisco 49ersSan Francisco 49ers28834,1557,8844.3118.6232
New York JetsNew York Jets28833,8848,2494.1117.7218
Atlanta FalconsAtlanta Falcons28833,6597,8374.3116.9249
Jacksonville JaguarsJacksonville Jaguars28833,5607,8494.3116.5211
Houston TexansHouston Texans28833,3888,1124.1115.9231
Washington Football TeamWashington Football Team28832,6107,7774.2113.2220
Green Bay PackersGreen Bay Packers28832,5427,5664.3113.0234
New York GiantsNew York Giants28832,4287,5894.3112.6233
Los Angeles ChargersLos Angeles Chargers28832,2097,8914.1111.8260
New Orleans SaintsNew Orleans Saints28832,0667,6004.2111.3293
Pittsburgh SteelersPittsburgh Steelers28831,7117,9624.0110.1229
Las Vegas RaidersLas Vegas Raiders28831,4137,4574.2109.1206
Cincinnati BengalsCincinnati Bengals28831,2517,8844.0108.5218
Chicago BearsChicago Bears28831,1897,7194.0108.3201
Cleveland BrownsCleveland Browns28830,7567,4294.1106.8184
Los Angeles RamsLos Angeles Rams28830,6757,4884.1106.5219
Miami DolphinsMiami Dolphins28830,4587,4224.1105.8211
Indianapolis ColtsIndianapolis Colts28829,9607,5993.9104.0245
Tampa Bay BuccaneersTampa Bay Buccaneers28829,8967,4094.0103.8180
Arizona CardinalsArizona Cardinals28827,4567,1343.895.3213
Detroit LionsDetroit Lions28826,5886,8133.992.3187
StatMuse has team, season-level data for rushing yards going back to the 1932 season.

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