Dallas, which was originally expected to pick in the second round with the No. 51 overall selection, instead traded the pick to the Buffalo Bills.
The Cowboys picked up Buffalo's 75th (third round) and 110th (fourth round) overall picks in this year's draft in return for the Cowboys' No. 51 pick.
Dallas had no first round picks in the 2009 draft after trading for wide receiver Roy Williams midway through the 2008 season.
"I don't know that you could've got a Roy Williams on draft day for a first-round pick," owner Jerry Jones said Saturday evening.
Williams caught 19 passes for 198 yards and a touchdown in 10 games with Dallas after signing a six-year contract extension worth $45 million that included $27 million guaranteed.
Dallas originally had 11 picks in this year's draft, but now has 12 after the trade.
All 12 picks are now scheduled to be on day two of the draft, which encompasses rounds three through seven.
Wide receiver, safety and cornerback are currently the three biggest needs for Dallas.
'Boys trade down
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