Jones made eight catches in all for 122 yards and A.J. Green added 115 yards on three catches for the AFC North-leading Bengals (6-2), who won their fourth straight game.
Andy Dalton fired five TD passes overall for 325 yards on 19-of-30 passing.
The Bengals returned two interceptions for touchdowns and held New York to 240 total yards.
Geno Smith completed 20-of-30 passes for 159 yards with the two interceptions for the Jets (4-4).