Bobby Douglass has the most rushing yards by a Bears quarterback in a season, with 968 yards in 1972.

most rushing yards by a bears quarterback in a season
1972Douglass1973Douglass2018Trubisky1969Douglass1950Lujack1991Harbaugh2000McNown1990Harbaugh1983McMahon1980Evans2003Stewart1971Douglass1967Concannon1993Harbaugh1989Harbaugh1984McMahon1992Harbaugh1968Carter1961Wade1985McMahon2017Trubisky2012Cutler2010Cutler968525421408397338326321307306290284279277276276272265255252248233232
NAMESEASONTMGPRUSH YDSATTRUSH AVGRUSH YDS/GRUSH TDREC YDSRECTRGREC AVGREC YDS/GREC TD
Bobby DouglassBobby Douglass1972CHICHI149681416.969.18000.00
Bobby DouglassBobby Douglass1973CHICHI13525945.640.45000.00
Mitchell TrubiskyMitchell Trubisky2018CHICHI14421686.230.130000.00
Bobby DouglassBobby Douglass1969CHICHI11408518.037.12000.00
Johnny LujackJohnny Lujack1950CHBCHB12397636.333.11116116.01.30
Jim HarbaughJim Harbaugh1991CHICHI16338704.821.12000.00
Cade McNownCade McNown2000CHICHI10326506.532.630000.00
Jim HarbaughJim Harbaugh1990CHICHI14321516.322.94000.00
Jim McMahonJim McMahon1983CHICHI14307555.621.9218118.01.31
Vince EvansVince Evans1980CHICHI13306605.123.58000.00
Kordell StewartKordell Stewart2003CHICHI9290594.932.230000.00
Bobby DouglassBobby Douglass1971CHICHI12284397.323.73000.00
Jack ConcannonJack Concannon1967CHICHI13279674.221.53000.00
Jim HarbaughJim Harbaugh1993CHICHI15277604.618.54111.00.10
Jim HarbaughJim Harbaugh1989CHICHI12276456.123.03000.00
Jim McMahonJim McMahon1984CHICHI9276397.130.7242142.04.70
Jim HarbaughJim Harbaugh1992CHICHI16272475.817.01000.00
Virgil CarterVirgil Carter1968CHICHI7265485.537.94000.00
Billy WadeBilly Wade1961CHICHI13255455.719.62000.00
Jim McMahonJim McMahon1985CHICHI13252475.419.4313113.01.01
Mitchell TrubiskyMitchell Trubisky2017CHICHI12248416.020.720000.00
Jay CutlerJay Cutler2012CHICHI15233415.715.500000.00
Jay CutlerJay Cutler2010CHICHI15232504.615.510000.00
Bobby DouglassBobby Douglass1974CHICHI7229366.432.71000.00
Vince EvansVince Evans1981CHICHI16218435.113.63000.00
StatMuse has season-level data for rushing yards going back to the 1932 season.

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