LONDON—International Consolidated Airlines Groupis a step closer to taking over smaller Irish rival Aer Lingus Group PLC after Ryanair Holdings PLC said on Friday that it would sell its Aer Lingus stake to the group.

"The IAG offer for Aer Lingus is a reasonable one in the current market and we plan to accept it, in the best interests of Ryanair shareholders," the budget airline's Chief executive Michael O'Leary said.

Ryanair, Europe's leading budget airline by passenger numbers, acquired about 29.8% in Aer Lingus shares as part of its own long-running but unsuccessful takeover attempts of the carrier. The U.K. Competitions and Markets Authority, the country's antitrust watchdog, had since told Ryanair to reduce its stake in Aer Lingus.

Mr. O'Leary said Ryanair would make a small profit on its Aer Lingus investment.

Analysts expect Ryanair to return the cash from the sale to shareholders. Europe's largest discount airline didn't immediately say what its plans are for the money generated from the sale.

British Airways-parent IAG had made a preliminary bid for Aer Lingus at €2.55 ($2.89) a share in an all-cash deal comprising a share offer and a cash dividend of five European cents a share. The deal values Aer Lingus at €1.4 billion.

IAG had made the acquisition of Aer Lingus contingent on the backing by Ryanair and the Irish government, which owns about 25% of the national carrier's shares. The government in May gave its backing to the takeover after winning concessions about traffic guarantees from IAG.

The deal, if approved by antitrust authorities, would strengthen IAG's hold on the lucrative trans-Atlantic market that is a major driver of its profits. IAG also would acquire more takeoff and landing slots at the busy London Heathrow airport, Europe's busiest hub.

Write to Robert Wall at robert.wall@wsj.com

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