Rangers' Kris Boyd and Celtic's Shaun Maloney could do the double of being both SPFA player of the year and their top young player of the season.
Burke, Naismith and Boyd have all been nominated
Boyd and Maloney have led the voting by their fellow players for the main award along with Hearts' Rudi Skacel and Celtic's Stilian Petrov.
The pair are also young players candidates along with Rangers' Chris Burke and Kilmarnock's Steven Naismith.
Naismith has already won the sports writers' young player award.
Hearts goalkeeper Craig Gordon was the writers' choice for their main award.
Boyd, who spent the first half of the season with Kilmarnock, said: "It's great to be nominated for this award, but I would rather be winning trophies with Rangers than individual prizes this season.
"But, of course, it's always nice to have your performances recognised and I am pleased to be in there along with the other guys."
Player of the year nominees: Shaun Maloney (Celtic), Kris Boyd (Rangers), Rudi Skacel (Hearts), Stilian Petrov (Celtic)
Young player of the year nominees: Chris Burke (Rangers), Kris Boyd (Rangers), Shaun Maloney (Celtic), Steven Naismith (Kilmarnock)
First Division nominees: John Rankin (Ross County), Jason Scotland (St Johnstone), Kirk Broadfoot (St Mirren), Alex Neill (Hamilton Academical), Tom Brighton (Clyde)
Second Divison nominees: James Grady (Gretna), Ryan McGuffie (Gretna), Jim McAllister (Morton), Bobby Linn (Peterhead)
Third Division nominees: Colin Cramb (Stenhousemuir), Chris McGroarty (Berwick Rangers), Markus Paatelainen (Cowdenbeath), Jordan Smith (East Stirlingshire)