The Collaborative International Dictionary of English v.0.48:

Tarboosh \Tar*boosh"\, n. [Ar. tarb?sh; perhaps from Per.
   sar-posh headdress: cf. F. tarbouch.]
   A red cap worn by Turks and other Eastern nations, sometimes
   alone and sometimes swathed with linen or other stuff to make
   a turban. See Fez.
   [1913 Webster]

WordNet (r) 3.0 (2006):

tarboosh
    n 1: a felt cap (usually red) for a man; shaped like a flat-
         topped cone with a tassel that hangs from the crown [syn:
         fez, tarboosh]