The Rainbow Centre in Fareham will be paid £20 by local firm Dove Recycling for every tonne of waste collected.
So it is now urging local businesses to help meet its £1,000 target.
Julie Woodward, fundraiser for the centre, which looks after children with cerebral palsy, said: 'Dove Recycling is a non-profit making company.
'We've got a few companies on board already and we're hoping to add one or two each week.
'We're also planning to take the idea to a few of the local schools.'
Materials the company will collect which can count towards the scheme include cardboard, paper, plastics and glass.
The BBC's Sally Taylor recently visited the centre to launch the 8ft 'tonne-ometre', which will record how much the project has raised, and see its new environmental garden.
The TV presenter said: 'It was a pleasure to be involved in such an important project which will raise funds as well as awareness of the environment – and the Wild Garden is wonderful.'
The Rainbow Centre is celebrating its 18th anniversary and attracts children from all over the region with families regularly travelling from as far afield as Bristol, Eastbourne and Sevenoaks in Kent.
But it relies on its fund-raising activities and donations to raise the £500,000 it needs every year.
Helen Somerset How, co-founder of the centre, based in Palmerston Drive, Cams Alders, said: 'This is a very visual, interactive way to help the children understand the concept of recycling and preserving the environment.
'Each time we receive a donation from Dove Recycling the children will turn a wheel sending a woodpecker up the scale of the tonne-ometre towards our first target of £1,000.'