Claure founded the wireless services company Brightstar in 1997,[2] which ranked as the largest Hispanic-owned business in the United States for six years.

Claure is owner of the football team Club Bolivar; chairman and co-owner of Girona FC since August 2020.

In his role at Brightstar, he helped launch One Laptop Per Child[24] and as CEO of Sprint, he created the 1Million Project Foundation.

In his early life, due to his father's career as a geologist for the United Nations diplomatic service, he lived in Morocco and the Dominican Republic, before moving to La Paz, where Claure spent most of his childhood.

[4] He subsequently transferred to Bentley College in Waltham, Massachusetts, graduating in 1993 with a Bachelor of Science in economics and finance.

[30] Claure returned to La Paz after graduating college and joined the Bolivian Football Federation as the head of business operations.

[28] Claure founded Brightstar in Miami in October 1997, initially focusing the wireless distributor and service provider on Latin America.

Claure focused on financial cuts and increasing customers, and by August 2015 the company's stock price was rising sharply.

[34] Joining the SoftBank Group board in June 2017,[19] Claure was named executive chairman of Sprint Corporation on 2 May 2018.

In this role he became focused on achieving regulatory approval for the merger from the Federal Communications Commission (FCC) and the United States Department of Justice (DOJ).

[10] In June 2020, Claure led the second largest secondary offering in US history through the SoftBank sale of $14.8 billion in T-Mobile US shares.

[36] Alongside SoftBank CEO Masayoshi Son, Claure began overseeing the company's overall business strategy.

[33] As COO of SoftBank Group Corp,[38] Claure was given oversight of operating companies[14] such as Boston Dynamics, Arm Holdings, Sprint, Fortress, Brightstar,[14][39] SB Energy, and WeWork among others.

[29][20] In February 2023, he was appointed chair of the Latin American operations of Shein, an ultra-fast fashion firm headquartered in Singapore.

[48] In June 2023, Claure was one of the founders of Bicycle Capital, an equity fund focused on Latin American tech startups with a target of $500 million.

[33] On 29 January 2018, MLS Commissioner Don Garber announced in a live broadcast that MBU had been awarded the 25th franchise in the league.

The press conference at the Arsht Center had attendance of over 1,700,[citation needed] becoming "a carnival-like gathering in downtown Miami while confetti rained down and soccer enthusiasts chanted and cheered.

[57] On 17 September 2021, it was announced that Beckham and the Mas brothers had bought out Claure and Son's stakes in the ownership group.

[59] In August 2020,[23] Claure invested in Girona FC in Spain, partnering with City Football Group to promote the team and becoming a board member.

[25] The Foundation aims to provide free computer and internet access to a million disadvantaged students in the United States.