All elementary particles with  half-integer spin 
(
) 
are called  fermions because they obey 
 Fermi-Dirac statistics - namely, 
 no two identical fermions can be in 
exactly the same quantum state.  
(This rule includes the  Pauli exclusion principle, 
but it carries over into many other branches of physics.) 
Examples of fermions are electrons, protons, neutrons, 
muons, quarks, ....
The name  fermion honours Enrico Fermi, who 
(with Paul A.M. Dirac) described the special properties 
of this type of particles.