It also called on the Government to set binding carbon budgets with annual milestones, to make sure that emissions reductions are on track.
Alex Robertson, Deputy Head of Policy at the Catholic aid agency CAFOD, also called for greater commitment, saying that the current Bill "falls short of the mark by ignoring strong scientific evidence".
He echoed Terfund's call for carbon emissions to be reduced by at least 80 per cent by 2050.
"Any delay in setting these stronger targets will mean that precious time is lost.," he warned.
"The UK Government is setting too low a standard with this current Bill. Stronger measures are needed if the UK is going to contribute towards stabilising global temperature warming at 2°C.
"People living in poverty will be amongst those most affected by climate change. They have done the least to cause the problem, but will suffer the harshest effects and have fewest resources to adapt.
"Adequately tackling climate change is essential if the UK's good work towards fighting poverty is not to be washed away by rising global temperatures."
Groups will be collaborating on lobbying activity through the I Count Community Groups Map, an online networking tool (http://www.icount.org.uk/groupsmap) launched in September 2007 with 350 groups. The number of groups joining to host themselves on the site has risen to 450 so far and this is set to increase as word spreads.
The Stop Climate Chaos coalition, of which Tearfund is a member, comprises international development, environment and faith-based NGOs, as well as women's organisations, trade unions and community groups.
