  The $\Lambda$CDM model provides a good fit to most astronomical observations
but harbors large areas of phenomenology and ignorance. With the improvements
in the precision and number of observations, discrepancies between key
cosmological parameters of this model have emerged. Among them, the most
notable tension is the 4$\sigma$ to 6$\sigma$ deviation between the Hubble
constant ($H_{0}$) estimations measured by the local distance ladder and the
cosmic microwave background (CMB) measurement. In this review, we revisit the
$H_{0}$ tension based on the latest research and sort out evidence from
solutions to this tension that might imply new physics beyond the $\Lambda$CDM
model. The evidence leans more towards modifying the late-time universe.
