The Collaborative International Dictionary of English v.0.48:

Criminality \Crim`i*nal"i*ty\ (kr?m`?-n?l"?-t?), n. [LL.
   criminalitas, fr. L. criminalis. See Criminal.]
   The quality or state of being criminal; that which
   constitutes a crime; guiltiness; guilt.
   [1913 Webster]

         This is by no means the only criterion of criminality.
                                                  --Blackstone.
   [1913 Webster]

WordNet (r) 3.0 (2006):

criminality
    n 1: the state of being a criminal [syn: criminalism,
         criminality, criminalness]