Bale and Nasri are bidding to emulate Andy Gray (1977) and Cristiano Ronaldo (2007) as the only players to previously win both awards in the same year. Wayne Rooney was last year nominated in both categories but took the chief prize while James Milner was young player of the year.
PFA chief executive Gordon Taylor believes the lists are reflective of an exciting season. Taylor said: "It is certainly very competitive. There has been no outstanding favourite so it will be very interesting to see who people think are favourites.
"Last year Wayne Rooney had an exceptional season. This year there are some very good contenders and it is nice to see some homegrown players in there as well. That is encouraging."