  A group of massive galaxies at redshifts of $z\gtrsim 7$ have been recently
detected by the James Webb Space Telescope (JWST), which were unexpected to
form so early within the framework of standard Big Bang cosmology. In this
work, we propose that this puzzle can be explained by the presence of some
primordial black holes (PBHs) with a mass of $\sim 1000 M_\odot$. These PBHs,
clothed in dark matter halo and undergoing super-Eddington accretion, serve as
seeds for the early galaxy formation with masses of $\sim
10^{8}-10^{10}~M_\odot$ at high redshift, thus accounting for the JWST
observations. Using a hierarchical Bayesian inference framework to constrain
the PBH mass distribution models, we find that the Lognormal model with $M_{\rm
c}\sim 750M_\odot$ is preferred over other hypotheses. These rapidly growing
BHs are expected to emit strong radiation and may appear as high-redshift
compact objects, similar to those recently discovered by JWST. Although we
focuse on PBHs in this work, the bound on the initial mass of the seed black
holes remains robust even if they were formed through astrophysical channels.
