They want a new constitution to guide a democratic leadership chosen in free and fair elections.
But Zimbabwe's Information Minister, Sikhanyiso Ndlovu, says the church is focussing on the wrong target.
"This is a free country, therefore our churches are free to say what they would like," he said.
"We respect their opinion but we are saying could they also look at the role played by Britain and America on sanctions in Zimbabwe and making our people suffer."
Mr Mugabe's Government drew furious protests from Western nations last month after Zimbabwe police arrested Opposition Leader Morgan Tsvingarai.
Mr Tsvingarai and other opposition members were severely beaten in police custody.
Mr Mugabe has ruled Zimbabwe since independence from Britain in 1980. SOURCE: © 2007 Australian Broadcasting Corporation
Posted April 9th, 2007 by Dinka