Carney, 28, who denied the charge but was found guilty by the Rugby Football League, was also fined £300.
He will miss Salford's trip to Leeds Rhinos on Friday and the visit of Warrington Wolves on Saturday 4 March.
Meanwhile, Rhinos second row Jamie Jones-Buchanan, 35, pleaded guilty to a charge of of Grade A dangerous contact and was fined £300 by the RFL.
Neither player was initially cautioned by match officials during their respective Super League games.
Carney's Salford won 30-20 at Huddersfield, while Jones Buchanan's Leeds beat Leigh 17-14.
Salford Red Devils winger Justin Carney has been banned for two matches for Grade C contact with a match official.