Year Pick Player College Position Notes 1961 13 Bob Lilly † TCU DT 1962 -- -- No Pick -- -- 1963 6 Lee Roy Jordan * Alabama LB 1964 Scott Appleton Texas OT 1965 5 Craig Morton California QB 1966 5 John Niland * Iowa OG 1967 -- -- No Pick -- -- 1968 20 Dennis Homan Alabama DE 1969 24 Calvin Hill * Yale RB 1970 23 Duane Thomas West Texas St. RB 1971 25 Tody Smith USC DE 1972 26 Bill Thomas Boston College RB 1973 20 Billy Joe Dupree * Michigan State TE Ed "Too Tall '' Jones * Tennessee State DE 22 Charley Young North Carolina St. RB Randy White † Maryland LB 18 "Hollywood '' Henderson * Langston LB 1976 27 Aaron Kyle Wyoming DB 1977 Tony Dorsett † (Heisman Trophy Winner) Pittsburgh RB 1978 28 Larry Bethea Michigan State DE 1979 27 Robert Shaw Tennessee 1980 -- -- No Pick -- -- 1981 26 Howard Richards Missouri 1982 25 Rod Hill Kentucky State DB 23 Jim Jeffcoat Arizona State DE 1984 25 Billy Cannon, Jr. Texas A&M LB 1985 17 Kevin Brooks Michigan DE 1986 18 Mike Sherrard UCLA WR 12 Danny Noonan Nebraska DT 1988 11 Michael Irvin † Miami WR 1989 Troy Aikman † UCLA QB 1990 17 Emmitt Smith † Florida RB 1991 Russell Maryland * Miami DT 12 Alvin Harper Tennessee WR 20 Kelvin Pritchett Mississippi DT 1992 17 Kevin Smith Texas A&M DB 24 Robert Jones * East Carolina State LB 1993 -- -- No Pick -- -- 1994 23 Shante Carver Arizona State DE 1995 -- -- No Pick -- -- -- -- No Pick -- -- 1997 22 David LaFleur LSU TE 1998 8 Greg Ellis * UNC DE 1999 20 Ebenezer Ekuban UNC DE 2000 -- -- No Pick -- -- 2001 -- -- No Pick -- -- 2002 8 Roy Williams * Oklahoma 2003 5 Terence Newman * Kansas State CB -- -- No Pick -- -- 2005 11 DeMarcus Ware * Troy State LB 20 Marcus Spears LSU DE 2006 18 Bobby Carpenter Ohio State LB 2007 26 Anthony Spencer * Purdue LB 2008 22 Felix Jones Arkansas RB 25 Mike Jenkins * South Florida CB 2009 -- -- No Pick -- -- 24 Dez Bryant * Oklahoma State WR 2011 9 Tyron Smith * USC OT 2012 6 Morris Claiborne LSU CB 2013 31 Travis Frederick * Wisconsin 2014 16 Zack Martin * Notre Dame OT 2015 27 Byron Jones Connecticut CB 2016 Ezekiel Elliott * Ohio State RB 2017 28 Taco Charlton Michigan DE 2018 19 Leighton Vander Esch Boise State LB
who did dallas pick in the first round of the draft
Leighton Vander Esch