Greenwich Leisure Limited will run the Multi-Use Arena and Aquatics Centre, while facilities management company Balfour Beatty WorkPlace will manage the ArcelorMittal Orbit sculpture.
The announcement means that six out of eight permanent Olympic venues now have operators in place for when the park reopens in 2013.
The Multi-Use Arena, known as the Handball Arena during the Olympics, will be the third-largest arena in London with 7,500 seats. It will host concerts, exhibitions, conferences and major sporting events and is expected to attract 400,000 visitors a year.
At 114 metres high, and will have two observation floors. Balfour Beatty WorkPlace said it will "hire in the necessary expertise" to ensure the venue is one of London’s leading visitor attractions.
The OPLC told Event it is talking with the new operators to plan events at the venues. It added that it is "possible" the Aquatics Centre could hold events as the floors of its swimming pools can be raised.
OPLC chair Baroness Margaret Ford said that the appointments were "another example of how London’s legacy plans are further ahead than any previous host Olympic city."
"By working closely with sporting bodies and our local communities now, we can ensure that these venues will have a full and compelling programme of activities for when they reopen after the Games," she said.
Prime Minster David Cameron, who held his first cabinet meeting of the year at the Olympic Park today, said: "I want the message to go out loud and clear, from tourism to business, sport to investment, we are determined to maximise the benefits of 2012 for the whole country."
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