Manning provided no reason for the apparent postponement, which came amid a spate of news reports that the event, which is expected to include aircraft, vehicles, period uniforms and symbols of USA power, could cost up to $92 million, far more than originally estimated.
An official told the AP that about $50 million would cover Pentagon costs for equipment, personnel and other support for the November parade in Washington.
Defense Secretary James Mattis scoffed at that figure, saying, "I guarantee you there's been no cost estimate", when asked by reporters during a trip to Bogota, Colombia.
Trump decided he wanted a military parade Washington after he attended France's Bastille Day celebration in the centre of Paris previous year.
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The $92 million cost estimate includes security, transportation of parade assets, aircraft, as well as temporary duty, or TDY, for troops.
When the White House in February announced the commander-in-chief's desire to hold a parade in Washington, the budget director said it would cost between US$10 million and US$30 million. The event would focus "on the contributions of our Veterans throughout the history of the U.S. Military, starting from the Revolutionary War and the War of 1812 to today, with an emphasis on the price of freedom" - not just awesome military gear.
Lt. Col. Jamie Davis, a Pentagon spokesman, said earlier Thursday that Defense Department planning for the parade "continues and final details are still being developed". Their analysis found that, because of the vehicle's distributed weight and track pads, the streets of the nation's capital would not be compromised. His staff is planning the parade along a route from the White House to the Capitol, and would integrate it with the city's annual veterans' parade. Prior to 1991, the last parade in D.C. was in 1946 to mark the end of World War II the previous year.
The American Legion suggested in a statement on Thursday evening that the parade be postponed until "we can celebrate victory in the War on Terrorism and bring our military home".
"We're going to have to try to top it", Trump reportedly joked to Macron at the UN General Assembly in September.