"Their fate is central to peace and peace can never be built on neglect", the cardinal wrote.
"I am very anxious about the escalation of tensions in the Holy Land and the Middle East, and about the spiral of violence which moves us ever further away from the path of peace, dialogue and negotiation", he said during his weekly audience at the Vatican.
Pope Francis has condemned the killing of Palestinians near the Gaza-Israel border. "I express my great pain for the deaths and injuries. and reiterate that the use of violence never leads to peace".
"War begets war, violence begets violence", he said.
Pope Francis asked all parties involved in the conflict and the whole global community to renew their promise so that dialogue, justice and peace takes precedence.
In his catechesis for the weekly audience, Pope Francis concluded his commentary on the sacrament of Baptism with reflections on the symbolism of the white garment and baptismal candle.
The deadly protests coincide with the relocation of the USA embassy from Tel Aviv to Jerusalem and the anniversary of the "Nakba", or Catastrophe, when hundreds of thousands of Palestinians fled or were expelled from their homes at the time of Israel's creation.
Again quoting the words of St. Paul, he said: "Clothe yourselves with sentiments of tenderness, of goodness, of humility, of meekness, of magnanimity, enduring each other and forgiving one another".
Pope Francis also explained that the baptismal candle reminds us that the Light of the World is Jesus Christ, "who, having risen from the dead, has conquered the darkness of evil".
Pope Francis has previously hinted at the possibility that he might resign, saying in 2015 that the Catholic Church should not have "leaders for life", and noting in 2014 that Pope Benedict XVI's 2013 resignation "cleared a path" for future papal resignations. "May the Lord grant all of us the grace to be able to take our leave and step down in this way [like Paul], with that spirit, with that strength, with that love for Jesus Christ and this faith in the Holy Spirit".