The firm, which is based in the town, will build the facility over the next few months, with a view to it opening in spring 2014.
Once completed, the centre will provide a range of care and complimentary therapies, freeing up space in the existing hospice building, which opened in 2004.
Funding was provided via the Department of Health and GRD expect more than 100 people will be involved during the construction phase, with 20 staff on site at any one time.
Financial director Jeanette Henderson said: “This is a fantastic contract to win because everybody who is associated with Hartlepool knows how much the hospice means to the town and its residents.
“We have long been supporters of the hospice both through fundraising and sponsorship, as well as providing maintenance work on their existing building. The new facility will be a welcome addition that will build upon the excellent care and services already provided at the hospice.”
Deputy chief executive at Hartlepool and District Hospice, Sandra Britten said: “We are delighted that we will soon have this amazing Holistic Wellbeing Centre, separate from the main Hospice but still very much part of it.
“It’s fantastic that we have been able to use a Hartlepool business to complete the construction project.”