Waqar Nazir was convicted of murder a person named Malik Rafiq in 1996 during a robbery attempt. Meanwhile, another convict named Zafar Iqbal was held guilty of raping a young girl.
The two prisoners will be sent to the gallows on 17th March.
Reintroducing the death penalty was part of Pakistan’s move to step up the fight against militants and criminals following a Taliban massacre at a school in the northwestern city of Peshawar in December.
Heavily armed gunmen went from room to room at the army-run school in Peshawar city gunning down 154 people, most of them children, in an attack that horrified the world.
The United Nations, the European Union, Amnesty International and Human Rights Watch have called on Pakistan to re-impose its moratorium on the death penalty.
The death penalty moratorium, in force since 2008, was initially lifted only in terrorism cases, but the government extended it to all capital crimes earlier this week.