Context : Aims : We identify hard X-ray sources discovered by the INTEGRAL all-sky survey . We complete identification of a unique sample of active galactic nuclei ( AGN ) selected in the hard X-ray band ( 17–60 keV ) with minimal effects from absorption . Subsequently , we determine the fraction of obscured AGN in the local Universe . Methods : We observed 7 INTEGRAL sources with the Chandra X-ray Observatory to refine their localization to \sim 2 arcsec and to study their X-ray spectra . Results : Two sources are inferred to have a Galactic origin : IGR J08390 - 4833 is most likely a magnetic cataclysmic variable with a white dwarf spin period \sim 1,450 s ; and IGR J21343+4738 is a high-mass X-ray binary . Five sources ( IGR J02466 - 4222 , IGR J09522 - 6231 , IGR J14493 - 5534 , IGR J14561 - 3738 , and IGR J23523+5844 ) prove to be AGN with significant intrinsic X-ray absorption along the line of sight . Their redshifts and hard X-ray ( 17–60 keV ) luminosities range from 0.025 to 0.25 and from \sim 2 \times 10 ^ { 43 } to \sim 2 \times 10 ^ { 45 } erg s ^ { -1 } , respectively , with the distance to IGR J14493 - 5534 remaining unknown . The sources IGR J02466 - 4222 and IGR J14561 - 3738 are likely Compton-thick AGN with absorption column densities N _ { \mathrm { H } } > 10 ^ { 24 } cm ^ { -2 } , and the former further appears to be one of the nearest X-ray bright , optically-normal galaxies . Conclusions : With the newly-identified sources , the number of heavily-obscured ( N _ { \mathrm { H } } \ga 10 ^ { 24 } cm ^ { -2 } ) AGN detected by INTEGRAL has increased to \sim 10 . Therefore , such objects constitute 10–15 % of hard X-ray bright , non-blazar AGN in the local Universe . The small ratio ( \ll 1 % ) of soft ( 0.5–8.0 keV ) to hard ( 17–60 keV ) band fluxes ( Chandra to INTEGRAL ) and the non-detection of optical narrow-line emission in some of the Compton-thick AGN in our sample suggests that there is a new class of objects in which the central massive black hole may be surrounded by a geometrically-thick dusty torus with a narrow ionization cone .