We collected the information of 304 gamma-ray bursts (GRBs) from the literature, and analyzed the correlations among the host galaxy offsets (the distance from the site of the GRB to the center of its host galaxy), T 90,i (the duration T 90 in rest-frame), T R45,i (the duration T R45 in rest-frame), E γ,iso (the isotropic equivalent energy), L γ,iso (= E γ,iso /T 90,i , the isotropic equivalent luminosity) and L pk (peak luminosity). We found that T 90,i , T R45,i , E γ,iso , L pk have negative correlation with offset, which is consistent with origin of short GRBs (SGRBs) and long GRBs (LGRBs). On separate analysis, we found similar results for log E γ,iso -log (offset) and log L pk -log (offset) relations in case of SGRBs only, while no obvious relation for LGRBs. There is no correlations between offset and L γ,iso . We also put the special GRB 170817A and GRB 060218A on the plots. The two GRBs both have low luminosity and small offset. In the log(offset) − log T 90,i plot, we found GRB 170817A locates in between the two regions of SGRBs and LGRBs and it is the outlier in the offset − E γ,iso , offset − L γ,iso and offset − L pk plots. Together with GRB 060218A being an outlier in all plots, it indicates the speciality of GRBs 170817A and 060218A, and might imply more subgroups of the GRB samples. 1.72 +0.95 −0.95 (4);(25);(25);(4);(6) 080319A05:45:42.05 Swift 2.0265 46.0 +1.2 −1.2 b 13.30 +0.54 −0.54 b 29.2 +25.5 −3.7.