The defendant was arrested shortly after the shooting at the high school, which is the worst high school shooting in U.S. history.
Ira Jaffe said in a statement Tuesday that he can see both sides of the death penalty debate but that he doesn't think anyone should spend any more time thinking about Nikolas Cruz.
Cruz has admitted to the shooting, and has been charged with 17 counts of premeditated murder.
The alleged murderer's defense attorneys have said he will plead guilty to the charges against him if he escapes a lethal injection.
The shooting has sparked a fierce national debate over gun rights, with numerous student survivors vowing to push for gun control regulations so that the shooting they lived through might be the last.
Tony Montalto's daughter was one of 17 killed at Marjory Stoneman Douglas in February.
Borges' family has filed notice that they will sue Florida authorities to seek money to cover the cost of his recovery.
But this week he failed to follow up on plans to ban the sale of assault rifles, or the sale of any type of gun to those under 21.
A Broward County grand jury last week indicted the 19-year-old gunman on 17 counts of premeditated murder in the first degree and 17 counts of attempted murder in the first degree.
Michael Satz, the state attorney for Broward County, filed the notice with Judge Elizabeth Scherer of his office's intent to seek the death sentence, ahead of a court hearing on Wednesday.
Cruz's attorneys have said he would plead guilty if the death penalty was not pursued in the Valentine's Day massacre. The announcement doesn't negate the ability for a plea deal to be reached. If Cruz is convicted, the only other possible sentence he can serve is life in prison without parole.