Charity Headway Black Country helps residents who have suffered an injury through an accident, an infection or stroke or haemorrhage.
A portion of the cash awarded by the National Lottery's BIG Reaching Communities pot is being put towards the opening of the centre in West Midlands House, in Gipsy Lane, Willenhall.
Bosses from the charity, based in Dudley, also attracted a £4,000 grant from the Eveson Charitable Trust towards the scheme to expand its services in Walsall borough and Wolverhampton.
Headway Black Country's chief executive Stephen Phipps said the grants will be used to carry out refurbishment to its new branch and install fixtures and fittings.
He said Headway would also cover the staffing costs.
"We are really excited to have got the premises up and running in Willenhall to extend the reach of the charity to people who are struggling with the effects of injuries," he said.
"It will also give us an opportunity to offer activities with regard to care and caring."
The new facility will be officially opened on June 18.