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The main objective of this paper is to build and compare vector magnetic mapsobtained by two spectral polarimeters, i.e. THEMIS/MTR and Hinode SOT/SP, usingtwo inversion codes (UNNOFIT and MELANIE) based on the Milne-Eddington solaratmosphere model. To this end, we used observations of a facular region withinactive region NOAA 10996 on 23 May 2008, and found consistent resultsconcerning the field strength, azimuth and inclination distributions. BecauseSOT/SP is free from the seeing effect and has better spatial resolution, wewere able to resolve small magnetic polarities with sizes of 1" to 2", and wecould detect strong horizontal magnetic fields, which converge or diverge innegative or positive facular polarities. These findings support models whichsuggest the existence of small vertical flux tube bundles in faculae. A newmethod is proposed to get the relative formation heights of the multi-linesobserved by MTR assuming the validity of a flux tube model for the faculae. Wefound that the Fe 1 6302.5 \AA line forms at a greater atmospheric height thanthe Fe 1 5250.2 \AA line.

Magnetic Field Structures in a Facular Region Observed by THEMIS and Hinode