BRUSSELS — At the sixth time of asking, British-based brewer SABMiller accepted “in principle” Tuesday a $106 billion takeover offer from Belgian-Brazilian Anheuser Busch InBev that will create the world’s biggest beer company and bring together top U.S. brands Budweiser and Miller Genuine Draft.

Having dismissed the five previous proposals from AB InBev over the past few weeks as undervaluing the company, the directors of SABMiller finally succumbed to an offer that values each SABMiller share at 44 pounds.

AB InBev, which owns Budweiser among a range of top-selling brands, has until Oct. 28 to come up with a formal offer. Over the coming two or so weeks, the two sides will work on the terms and conditions of the takeover offer as well as the financing of the deal.

In statements, the two companies said the all-cash offer represents a premium of around 50 percent to SABMiller’s share price on Sept. 14, the last trading day before renewed speculation of an approach from AB InBev emerged. AB InBev’s first offer valued SABMiller, which has its roots in South Africa, at 38 pounds a share.

The markets think that the deal is now very likely and SABMIller’s share price was trading right near the offer price.

If the merger deal is formally agreed, then the combined company will control some 31 percent of beer sales around the globe.