A recent meeting of the Greater Manchester Combined Authority heard that Mr Burnham had tasked officials with drafting a bid to host the historic tournament in 2035.
This comes after the long debated Hulton Park scheme, to create and 18-hole luxury golf course in Over Hulton, was included a wave of huge investments across the city region.
Mr Burnham said: “I think we can do it, we will do it and we will do it better than anyone has done it before.”
He added: “But it must come with the that infrastructure investment, not just in Bolton bit going into Wigan.”
The Greater Manchester Combined Authority announced a huge investment in Park Avenue (Image: Peel Land)
Mr Burnham said that was well as preparing a bid to host the Ryder Cup, the city region will also be bidding to host the Solheim Cup, a biannual tournament for professional women golfer.
The GMCA meeting had assembled to approve a range of proposals including £69.8M for the Park Avenue scheme.
This was announced earlier in March and aims to support delivery of the first phase of a new M61-M6 link road, new cycling and walking routes, and new bus routes to the Ryder Cup site.
Mr Burnham told the meeting that as well as the road, the investment would also be aimed at improving train lines like the Atherton Line, which serve areas around the Hulton Park site.
Funding came from a £500M wave of investments for various projects across the city region announced in March.
Bolton Council leader Cllr Nick Peel said this showed the value of Greater Manchester’s different authorities working together on projects like these.
He said: “From Bolton’s point of view that’s significant investment to Park Avenue, a key component of the east, west link road.
“And we know that we need that massive infrastructure investment in place if we are to secure the Ryder Cup, an international sporting competition that the combined authority has really backed.”
Cllr Peel said the competition would bring huge economic benefits to Bolton and the rest of Greater Manchester.