New York ? A judge has dismissed a lawsuit brought by Sept. 11 families seeking to stop construction of the World Trade Center memorial, saying designers thoroughly outlined their plans to build on the spots where the twin towers stood.

The group sued in March, saying plans to build part of the memorial on the footprints of the towers would destroy what is left of them. It accused the Lower Manhattan Development Corp., the state agency in charge of the design, of breaking state law by not consulting properly with it during a federal historic preservation review process.

But state Supreme Court Justice Shirley Kornreich said the corporation’s efforts to consult with others “have been exhaustive and far beyond anything required by law.”

Her decision was dated Thursday, though both sides learned of it only on Tuesday.

The dismissal gives designers permission to go ahead with plans to pour concrete on the fallen towers’ foundations, which preservationists have called prized historic resources.

But the entire memorial design is being rethought after contractors this month released a $1 billion construction estimate, twice the project’s budget.