The detections of X-ray emission from the kiloparsec-scale jets of blazars and radio galaxies may imply the existence of high energy electrons in these extended jets , and these electrons could produce high energy emission through inverse Compton ( IC ) process . In this paper we study the non-variable hard TeV emission from a blazar . The multi-band emission consists of two components : one is the traditional synchrotron self-Compton ( SSC ) emission from the inner jet , and the other is the emission produced via SSC and IC scattering of cosmic microwave background ( CMB ) photons ( IC/CMB ) and extragalactic background light ( EBL ) photons ( IC/EBL ) by relativistic electrons in the extended jet under the stochastic acceleration scenario . Such a model is applied to 1ES 1101-232 . The results indicate that ( 1 ) the non-variable hard TeV emission of 1ES 1101-232 can be reproduced well , which is dominated by IC/CMB emission from the extended jet , using three characteristic values of Doppler factor ( \delta _ { D } = 5 , 10 , 15 ) for the TeV emitting region in the extended jet ; and ( 2 ) in the cases of \delta _ { D } = 15 and 10 , the physical parameters can achieve the equipartition ( or quasi-equipartition ) between the relativistic electrons and the magnetic field ; In contrast , the physical parameters largely deviate from the equipartition for the case of \delta _ { D } = 5 . It is therefore concluded that the TeV emission region of 1ES 1101-232 in the extended jet should be moderately or highly beamed .