Maybe, you know the relationship between relativistic and inertial mass, that is:
[tex]M_{rel} = \gamma M_{inertial}[/tex], where [tex]\gamma[/tex] is:
[tex]\gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2} }}[/tex]
You should see here that as [tex]v \rightarrow c[/tex], [tex]\gamma \rightarrow \infty[/tex]
So, to avoid the concept of infinite mass, we must cheat here. We say that any kind of particle which speed is c, can not have inertial mass.