The Collaborative International Dictionary of English v.0.48:

narcotizing \narcotizing\ adj.
   Inducing stupor or narcosis.

   Syn: narcotic.
        [WordNet 1.5]

The Collaborative International Dictionary of English v.0.48:

Narcotize \Nar"co*tize\ (n[aum]r"k[-o]*t[imac]z), v. t. [imp. &
   p. p. Narcotized (n[aum]r"k[-o]*t[imac]zd); p. pr. & vb. n.
   Narcotizing (n[aum]r"k[-o]*t[imac]*z[i^]ng).]
   To imbue with, or subject to the influence of, a narcotic; to
   put into a state of narcosis.
   [1913 Webster]

WordNet (r) 3.0 (2006):

narcotizing
    adj 1: inducing stupor or narcosis; "narcotic drugs" [syn:
           narcotic, narcotizing, narcotising]