The summit on Oct 14 is regarded as a key moment for the Government to secure foreign investment, with Sir Keir Starmer hoping to attract tens of billions in inward funding from the world’s biggest investors.
Mr Musk went to last year’s event and attended November’s AI Summit, including a fireside talk with Rishi Sunak, the then prime minister.
Under the Conservatives, Mr Musk – who owns or runs X, Tesla and SpaceX – was shown around several UK sites with potential for a gigafactory for cars and batteries.
He previously said that he opened a site in Germany and not the UK partly because of Brexit.
Under Mr Musk’s ownership the social media site formerly known as Twitter has lifted a ban on far-Right figures including on the Britain First group.
The UK is considering a tougher Online Safety Act, after the role of misinformation in the widespread racist disorder in August.
The Government and Mr Musk were contacted for comment.