TOKYO—Sony Corp. has decided to end its sponsorship of World Cup soccer amid growing concerns about the transparency of the bidding process for the next two tournaments, a person familiar with the matter said Tuesday.

Sony’s contract as one of six “official partners” of FIFA, the soccer governing body, was set to expire at the end of this year. The decision not to pursue a renewal makes Sony the second top-tier sponsor this month, after Emirates Airline, to move to sever ties with FIFA.

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