He also urged the world not to ignore refugees, persecuted minorities, the poor and vulnerable.
The encounter took place at an inter-religious peace meeting on his first full day in Bangladesh, to where 625,000 Rohingya from Myanmar’s Rakhine state have fled from an army crackdown.
Refugees have said scores of Rohingya villages have been burnt to the ground, people killed and women raped. Myanmar’s military has denied accusations of “ethnic cleansing” by the US and UN.
The pope had earlier in the week visited Myanmar, where he met its leader Aung San Suu Kyi and Senior Gen. Min Aung Hlaing.
But there he avoided using the word “Rohingya”, a term the authorities reject. Many people in Myanmar regard the largely stateless Rohingya as illegal immigrants from Bangladesh.
Addressing about 5,000 people at the gathering on the grounds of the Roman Catholic archbishop’s residence, the pope said: “How much our world needs this heart to beat strongly, to counter the virus of political corruption, destructive religious ideologies, and the temptation to turn a blind eye to the needs of the poor, refugees, persecuted minorities, and those who are most vulnerable.”
Aid workers brought 16 Rohingya refugees from camps in Cox’s Bazar, about 430 km (260 miles) southeast of Dhaka on the border with Myanmar, to join other Muslims, as well as Hindus, Buddhists, Christians and charity workers.
The pope looked somber as each member of the group, which included 12 men and four women, including two young girls, told him their stories through interpreters. The pope looked pained as he listened.
“In the name of all those who persecute you, who have persecuted you, those who have hurt you, above all for the indifference of the world, I ask for forgiveness, forgiveness,” the pope said in improvised comments.
Before that, in his calls for peace in Myanmar and Bangladesh, he had not publicly used the word “Rohingya” to describe the refugees — disappointing human rights groups and other prominent figures in the West who have condemned the repression.
One of the women refugees told Reuters before the meeting: “Myanmar military captured me and some other women, tortured us. I still bleed, there is pain in the abdomen, my back hurts, I get headaches. Medicines have not helped much.”
“I will share my pain with him,” said the woman as her young daughter clutched at her burqa garment.
The pope spoke under a huge tent-like canopy held up by bamboo poles and covered with red, white and scarlet fabric to guard against the afternoon sun. He had first visited the cathedral and then was taken to the tent in a flower-bedecked peddle rickshaw that a man pushed up the central aisle.
In his address, Francis said: “Religious concern for the welfare of our neighbor, streaming from an open heart, flows outward like a vast river, to quench the dry and parched wastelands of hatred, corruption, poverty and violence that so damage human lives, tear families apart, and disfigure the gift of creation,” he said.
The pope has called for decisive measures to resolve the political reasons that caused the refugee crisis and urged countries to help the Bangladesh government deal with it.
Earlier this year from the Vatican, the pope twice defended the Rohingya by name, once saying that they had been “tortured, killed simply because they wanted to live their culture and their Muslim faith.”
The Myanmar military launched the crackdown in response to Rohingya militant attacks on an army base and police posts in August and says it is a legitimate counter-insurgency operation.