Tour de France winner Froome and road race world champion and World Cup winner Armitstead are among 12 sportspeople nominated for this year’s edition of the prestigious award.
Joining Froome, 30, and Armitstead, 26, are Lucy Bronze (football), Jessica Ennis-Hill (athletics), Mo Farah (athletics), Tyson Fury (boxing), Lewis Hamilton (Formula 1), Andy Murray (tennis), Adam Peaty (swimming), Greg Rutherford (athletics), Kevin Sinfeld (rugby league) and Max Whitlock (gymnastics).
Hamilton won the award last year, and Murray in 2013. Cycling has had four winners in the award’s history, three of them in the past eight years: Tom Simpson (1965), Sir Chris Hoy (2008), Mark Cavendish (2011) and Sir Bradley Wiggins (2012).
Froome’s highest finish in the award is sixth in 2013. This is the first time that Armitstead has been nominated.
The nominees were chosen by a panel of sports experts, and the final winner will be decided by public vote during a live BBC One broadcast from Belfast on Sunday, December 20.
Ennis-Hill is currently the bookies’ favourite, with Murray and Fury close behind. Froome is 20/1 and Armitstead 100/1 to take the award.