"That's remained static over the past 10 years, which is very concerning," Weaver said.
The Unitary Plan was a chance to highlight driveway safety, she said.
Driveways longer than 12m or those shared with other homes, double the risk of a child being run over.
Safekids' submission calls for fencing driveways off from "play areas" like gardens or lawns, similar to safety fencing around pools, and avoiding long driveways where possible in new property developments.
Speed bumps and mirrors should be added to existing long or shared driveways, the submission said.
Safekids figures showed at least 16 Auckland children died in driveway accidents between 2009 and last year.
"Considering where children live, the Auckland region has the highest number of driveway incidents in the country," Weaver said.
Safekids' biggest success on the issue so far was a partnership with Housing New Zealand.
In November 2013 Housing New Zealand began a $30 million fencing and landscaping programme to improve driveway safety at nearly 13,000 state homes.
"They have invested a lot of money in building fences with child-resistant latches for families with kids under 5.
"What we'd like now is for private owners, landlords and developers to follow suit," she said.
Meanwhile, Hamilton City Council has included measures in its proposed District Plan to improve driveway safety.
Hamilton Council planning manager Luke O'Dwyer said that the plan encouraged residential developers to keep driveways and play areas separated.