Gov. Andrew Cuomo and Gov. Chris Christie sent a letter to Interior Secretary Ken Salazar on Saturday saying that Park Service involvement at the site would ensure its long term stability.
Right now the memorial is run by a private foundation, led by Mayor Michael Bloomberg.
Work on the memorial's unfinished, underground museum stalled last fall after a funding dispute with the Port Authority of New York and New Jersey. Since then, several groups and agencies have raised concern about its long-term fiscal health.
Any Park Service role would have to be approved by Congress.
