Davis was taken with 195th pick overall.
Two of Davis' former Clemson teammates, Chris Clemons and Michael Hamlin, were drafted with consecutive picks in the fifth round.
The Miami Dolpins drafted Clemons with the 165th pick overall. Hamlin went to the Dallas Cowboys at No. 166. Both played free safety for the Tigers.
The second day of the draft was a big one for players at Clemson, South Carolina, Georgia and Georgia Tech. A closer look:
No. 70 (Cincinnati) - Michael Johnson, DE, Georgia Tech
No. 86 (Minnesota) - Asher Allen, CB, Georgia
No. 89 (Tennessee) - Jared Cook, TE, South Carolina
No. 93 (Carolina) - Corvey Irvin, DE, Georgia
No. 103 (St. Louis) - Scott Dorell, DT, Clemson
No. 141 (Denver) - Kenny McKinley, WR, South Carolina
No. 150 (Minnesota) - Jasper Brinkley, LB, South Carolina
No. 162 (Green Bay) - Jamon Meredith, OT, South Carolina
No. 165 (Miami) - Chris Clemons, S, Clemson
No. 166 (Dallas) - Michael Hamlin, S, Clemson
No. 181 (Miami) - Andrew Gardner, OT, Georgia Tech
No. 182 (Green Bay) - Jarius Wynn, DE, Georgia
No. 195 (Cleveland) - James Davis, RB, Clemson
No. 210 (Atlanta) - Vance Walker, DT, Georgia Tech
No. 216 (Carolina) - Captain Munnerlyn, CB, South Carolina
No. 234 (New England) - Darryl Richard, DT, Georgia Tech
No. 238 (New York Giants) - Stoney Woodson, DB, South Carolina
No. 256 (Kansas City) - Ryan Succop, K, South Carolina