AB InBev had been exploring the sale of the brands in order to address regulatory considerations as part of its acquisition of SABMiller.
In February, Japan’s Asahi announced it had made a final binding offer to AB InBev to acquire Peroni, Grolsch, Meantime and related businesses, which was followed by a consultation process between the two parties.
AB InBev has now accepted the offer, which is conditional on the successful closing of its acquisition of SABMiller (scheduled for completion in the second half of 2016).
The terms of the deal have not been disclosed, although the offer made in February valued the brands at €2,550m ($2,888m).
Peroni is based in Italy, while Grolsch is based in the Netherlands. London-based craft brewer Meantime was acquired by SABMiller in May last year.