  Superluminal motion has been found to occur in many kinds of celestial bodies
with the relativistic ejecta, especially for some active galactic nuclei
(AGNs), gamma-ray bursts (GRBs) and micro-quasars, although these objects are
largely different in their lifetimes, sizes and features. We compare the
apparent superluminal motions of GRBs with AGNs and different sub-classes of
AGNs (e.g., Radio galaxies, BL Lac objects, and Quasars). Particularly, we
focus on two low luminosity GRBs, namely 060218 and 170817A, that are
ultra-long and short bursts associated with supernova and gravitational wave,
respectively. The apparent transverse velocity ($\beta_{app}$) of Swift and
pre-Swift GRBs are tightly correlated with the Doppler factor $\delta$ as
$\beta_{app}\propto\delta^{0.5}$, while all AGNs distribute around the line of
$\beta_{app}= \delta$ behaving a weak correlation of $\beta_{app}$ with
$\delta$ . In contrast, $\beta_{app}$ is positively correlated with Lorenz
factor $\gamma$ or $\gamma^2(1+z)^{-1}$, not for GRBs but for AGNs.
$\beta_{app}$ and $1+z$ are independent for neither GRBs nor AGNs, but
apparently exhibit a positive correlation of $\beta_{app}$ with $1+z$ from AGNs
to GRBs, showing a cosmological effect of evolution with redshift. I also found
that GRB 170817A and GRB 060218 are outliers of the above correlations.
Superluminal properties of GRBs are significantly different from those of AGNs.
However, there are no obvious differences between radio galaxies, BL Lac
objects, and quasars in terms of their superluminal motion. In despite of
radiation mechanism, beaming effect and cosmological expanding would play the
same roles on the superluminal motion for AGNs and GRBs.
