Explaining the latest removals as Chile's church is called to account for decades of sexual abuse and cover-ups, the statement made clear the two were defrocked for abusing minors with evidence so overwhelming that a canonical trial was unnecessary.
The pope's decision is the harshest punishment available in church canon law.
Perhaps the most iconic case was that of Fernando Karadima, an 88-year-old priest who systematically used his position and networks to sexually abuse of minors over a period of many years.More news: Sears craters after filing for bankruptcy
It pledged to "ask for a medical evaluation to determine whether it is possible for Francisco Jose Cox to return to Chile".
Pope Francis on Saturday received in private audience in the Vatican President Sebastián Piñera Echenique of Chile.
He is believed to be living somewhere in Chile.
"We shared the hope that the Church will be able to live a real renaissance and recover the tenderness and the closeness of the people of God", he added.More news: Luke Shaw 'very close' to agreeing new Manchester United contract
As part of an investigation, the Catholic church's headquarters in the capital Santiago was raided this August.
During a trip to Chile in January, the pope strongly defended one of the 34 bishops who later resigned.
At the beginning of October a Chilean archdiocese issued a new set of behavioral guidelines for priests which was immediately slammed for its matter-of-fact tone and disturbing level of detail.
This decision comes at a hard time for the Catholic church following the newest revelations of widespread sexual abuse within the Church.
Anne Barrett Doyle of the online abuse database BishopAccountability.org said: 'This is a freakish and frightening document.More news: Cologne 'hostage situation': German police swoop on train station