The support was expressed in a document distributed to journalists in Brasilia by Archbishop Raymundo Damasceno Assis of Aparecida, bishops' conference president.
The document said the conference "declares its solidarity and support to these demonstrations, as long as they are peaceful, and which have taken to the streets persons of all ages, especially the youth."
Missing from the document was any mention of World Youth Day, set for Rio de Janeiro July 23-28. But Archbishop Assis told reporters it was the government's responsibility to guarantee the safety of the pilgrims. He conceded that the events of the recent few days may discourage foreign pilgrims from attending World Youth Day.
Earlier, Archbishop Orani Joao Tempesta of Rio de Janeiro said in a separate statement that the protests would not affect World Youth Day, nor the planned visit of Pope Francis. The demonstrations are, he said, "in some ways similar to the spirit of WYD -- the desire to work together for a new world, for a new life, a new society."
The archbishop said the local committee planning World Youth Day events continues "to focus on the safety of pilgrims as well as the general population during the event." He added that the military police and municipal guard will closely monitor the situation.
"I think that there will not be any safety issues, whether for the pope or for those in attendance as we are studying everything down to the smallest details, to all of the minutiae," he said.
The protests have expanded since the first were organized primarily by student groups in mid-June to protest a 10-cent increase in public transportation fares. Protesters have since expanded the list of grievances with the government to include high taxation rates, decreased government services and attention to massive public projects such as stadium construction while vital social needs go unmet.
Government officials estimated that nearly 1.2 million people participated in protests across the country June 20. The mayors of Brazilian cities, such as Sao Paulo and Rio de Janeiro, announced June 19 that they were revoking transportation tariff increases.
"These demonstrations show us that it is not possible to live in a country with such inequalities," said the bishops' document.
The document also emphasized that the church strongly opposes the violence that has erupted and the destruction of private property as the protests have grown.