We present a study of the host bulge properties and their relations with the black hole mass on a sample of 10 intermediate-type active galactic nuclei ( AGN ) . Our sample consists mainly of early type spirals , four of them hosting a bar . For 70 ^ { +10 } _ { -17 } \% of the galaxies we have been able to determine the type of the bulge , and find that these objects probably harbor a pseudobulge or a combination of classical bulge/ pseudobulge , suggesting that pseudobulges might be frequent in intermediate-type AGN . In our sample , 50 \pm 14 \% of the objects show double-peaked emission lines . Therefore , narrow double-peaked emission lines seem to be frequent in galaxies harboring a pseudobulge or a combination of classical bulge/ pseudobulge . Depending on the bulge type , we estimated the black hole mass using the corresponding M _ { BH } - { \sigma* } relation and found them with a range of : 5.69 \pm 0.21 < \log M _ { BH } ^ { \sigma* } < 8.09 \pm 0.24 . Comparing these M _ { BH } ^ { \sigma* } values with masses derived from the FWHM of H \beta and the continuum luminosity at 5100 Å from their SDSS-DR7 spectra ( M _ { BH } ) we find that eight out of ten ( 80 ^ { +7 } _ { -17 } % ) galaxies have black hole masses that are compatible within a factor of 3 . This result would support that M _ { BH } and M _ { BH } ^ { \sigma* } are the same for intermediate-type AGN as has been found for type 1 AGN . However , when the type of the bulge is taken into account only 3 out of the 7 ( 43 ^ { +18 } _ { -15 } \% ) objects of the sample have their M _ { BH } ^ { \sigma* } and M _ { BH } compatible within 3- \sigma errors . We also find that estimations based on the M _ { BH } - \sigma* relation for pseudobulges are not compatible in 50 \pm 20 \% of the objects .