The Adelson family, longtime financial supporters of Trump and his Republican Party, committed $US25 million as well, as did billionaire Charles Ergen, co-founder and chairman of telecommunications company Dish Network, the report added.
The president himself is not on the list, according to the Post.
Reuters has not verified the report.
The White House said it would not release information about the donors, who spokesman Davis Ingle said "represent a wide array of great American companies."
Nvidia said it was proud to make a donation to a nonpartisan trust that serves Americans.
"As an American company, our support for the United States is paramount, and independent of any business interests," a spokesperson said.
Apple declined to comment.
The scale of the ballroom project and the administration's handling of fundraising and disclosures have drawn criticism from watchdog groups and legal experts, who say they raise questions about transparency, donor influence and adherence to longstanding ethics and oversight norms.
"The secrecy is a huge problem," said Eric Petry of the Brennan Centre for Justice. "When people with business before the government can give millions to the president's pet project, and the public can't see who or how much, there's no way to tell whether they're buying access or favours."
Federal contractors including Lockheed Martin Corp, Microsoft Corp and Palantir Technologies Inc all gave $US10 million, the Post reported. The companies did not immediately respond to a request for comment.
Trump initially said he and wealthy donors would pay for the estimated $US400 million project, but he later unsuccessfully sought $US1 billion from Congress for an underground bunker and security features to harden the facility.
The Post reported that the "vast majority of the funds raised came from companies and wealthy individuals with interests before the federal government" and that half the total came from companies or executives of firms that have had federal government contracts in Trump's second White House term.
The planned ballroom is among several projects Trump is pursuing in his efforts to remake Washington with sweeping, unilateral changes that his opponents have challenged in court and called a power grab.
The US Supreme Court, in a 5-4 ruling in August, allowed Trump to continue construction of the ballroom while he challenges a judicial order that would halt much of the development. In a dissent, Chief Justice John Roberts said the project was "likely unlawful."
The ballroom, which Trump has said will seat 1000 guests, has faced public backlash. Preservationists and opponents say Trump exceeded his authority by demolishing the historic East Wing, which housed the first lady's offices and the White House movie theatre, to make room for the structure.
