As far as I can tell, that bike has wheels that bolt on (with nuts), as opposed to quick-release (Q/R) fastenings - i.e. the lever type that tend to come on sports/racing and mountain bikes. PaulF is right, but some trainers fit only Q/R wheels, whereas others take either type. It's hard to be certain for any particular trainer, so I'd recommend actually trying to fit your bike to it before spending money.
Just to complicate things, some trainers do take wheels with nuts, but need adaptors. If you get stuck, tell us which trainer model you're looking at.