This paper presents the second part of an extensive study of the properties of the H II region population in a sample of spiral galaxies with active nucleus. This study comprises some 2000 H II regions, distributed in 27 out of the 55 galaxies in the original sample, observed in narrow-band H alpha CCD imaging. About 70% of these H II regions are calibrated in absolute flux. We present the luminosity function, size distribution, the relationship between the H alpha flux and the size, the emission measure, and the radial distribution of the H II regions in each galaxy. We analyze the main properties of the H II regions attending to the Hubble type and to the level of nuclear activity of the host galaxy.