In addition, the local community board has backed the plan.
City officials backed the plan, and the federal Government agreed to pay all costs.
But he said other military services backed the plan.
Republican sponsors said they would put the motion up for a vote only if at least five Democrats backed the plan.
Nearly all Democrats backed the plan, which passed 230-192.
Groups representing chemical and pesticide companies have also backed the plan.
Lawyers backing the plan estimate that it could provide the trust with up to $630 million in cash over 20 years.
All three ministers reluctantly backed the original plan in advance of the party vote.
The Senate vote was less frantic and more civil as majorities of both parties backed the plan.
The British backed the plan but are less enthusiastic than the French.