They said attempts to remove the president from power are not based on evidence but due to political opposition to "social policies that have change the lives of millions of Brazilians in recent years."
A statement said: "We express our understanding that the process of impeachment is steered by political leaders, many of which are being investigated for corruption, are well known defenders of the business sector which historically has benefitted from public funds.
"The way in which the impeachment process has been conducted shows clear vices, it does not prove crime according to the current legislations and hides the true intent of preventing the continuity of the social policies that have changed the lives of millions of Brazilians in recent years.
"We believe it is our pastoral and prophetic duty to raise our vices as part of Christ's Church in defence of justice, truth and peace following the words of James: 'now the fruit of righteousness is sown in peace by those who make peace' and echoing the psalm 85:10: 'mercy and truth meet, righteousness and peace have embraced.'"
Opponents of Ms. Rousseff have cited budget irregularities and campaigning finance violations as grounds for impeachment. However the president herself has said attempts to oust her would represent a "coup" as there is no legal basis she could be removed from power.
Over a million anti-government protesters gathered in the nation's capital Brasilia earlier this month against President Rousseff. Brazil's largest political party, the PMDB has withdrawn support for her, urging many political scientists in Brazil to think these may be the last days in power for Ms. Rousseff.
By Megan Howe