The company wants to build up its teams' skills using systems similar to the Premier League's talent academics.
Prize and sponsorship money for e-sports run in the millions and audiences run to more than 100 million for some events, outstripping those for major sporting events such as Wimbledon and the Tour de France.
Figures from from Newzoo, a games market insights company, show that 2019, e-sports had a total of 443 million viewers in 2020. Newzoo predicts the market will grow to 646 million viewers by 2023.
The shares will initially be offered to large investors next month, but afterwards will trade freely on the stock market where anyone can buy them.
Money raised from the initial share placing will be used to expand the business, including recruiting new players.
The investment further extends David Beckham's wide-ranging business interests, which include fashion, fragrances, whisky and a football club in Florida that he co-owns.
Guild Esports said he would use his "global influence and following to support the development of the company's brand and business".
Beckham is one of the founding shareholders in the business, holding what is described as a "significant minority stake", although the exact investment is undisclosed. He is not the first footballer to spot the potential opportunities in e-sports. Wales and Real Madrid player Gareth Bale launched his e-sports organisation, Ellevens Esports, earlier this year.
Carleton Curtis, the executive chairman of Guild Esports, said: "Guild will be the first eSports franchise to join the London stock market. It will provide us with the cache, credibility and capital to fulfil our ambition to become one of the world's top 10 e-sports franchises within three years."
Source: GMB / BBC.com