The Kapiolani Health Foundation got some financial help for the first phase of its multi-year master plan.
On Sunday, an anonymous local family donated $3 million towards the capital campaign.
The donation is the second private $3 million gift received thus far.
So far, $28.4 million has been raised out of the $30 million needed for the project.
Construction on the new Neonatal Intensive Care Unit and Pediatric Intensive Care Unit building is expected to begin in 2014.