Former House Speaker John Boehner has joined the board of Reynolds American Inc., the tobacco company said Thursday, a move that comes as it faces new pressure over menthol cigarettes.

Boehner, a noted cigarette smoker, resigned from the House last year after more than four years as speaker and almost a quarter century in the House. In an interview with the Journal last December, Senate Majority Leader Mitch McConnell said he missed Boehner at work, but he didn’t miss his cigarette smoke.