The constituents of both the Chancellor and Scotland Secretary are heavily opposed to renewal of Britain's nuclear deterrent, according to a poll.

The survey of people in Kirkcaldy and Paisley, represented at Westminster by Gordon Brown and Douglas Alexander, was carried out for environment pressure group Greenpeace, which this month stepped up its campaign against the renewal.

It was designed as a warning to Mr Brown in particular that his party faces internal opposition to the scheme for new submarines and a new generation of missiles.

The Chancellor, expected to become Prime Minister, has backed Tony Blair in saying Britain needs to retain its deterrent, but as of yesterday, Mr Brown faces a leadership challenge from former Cabinet colleague Michael Meacher, primarily over the issue.

A Labour spokesman responded to the poll: "We won't be taking any risks with the future of Scotland's economy, and we won't be risking the defence of our nation."