  We present a distant T$-$type brown dwarf candidate at $\approx2.55$ kpc
discovered in the Cosmic Evolution Early Release Science (CEERS) fields by
James Webb Space Telescope (JWST) NIRCam. In addition to the superb
sensitivity, we utilised 7 filters from JWST in near-IR and thus is
advantageous in finding faint, previously unseen brown dwarfs. From the model
spectra in new JWST/NIRCam filter wavelengths, the selection criteria of
F115W-F277W$<$-0.8 and F277W-F444W$>$1.1 were chosen to target the spectrum
features of brown dwarfs having temperatures from 500K to 1300K. Searching
through the data from Early Release Observations (ERO) and Early Release
Science (ERS), we find 1 promising candidate in the CEERS field. The result of
SED fitting suggested an early T spectral type with a low effective temperature
of T$_\text{eff}\approx$1300K, the surface gravity of
$\log{g}\approx5.25\text{cm s}^{-2}$, and an eddy diffusion parameter of
logK$_{zz}\approx7\text{cm}^2 \text{s}^{-1}$, which indicates an age of
$\approx$1.8Gyr and a mass of $\approx0.05$M$_{\odot}$. In contrast to
typically found T$-$dwarf within several hundred parsecs, the estimated
distance of the source is $\approx2.55$kpc, showing the JWST's power to extend
the search to a much larger distance.
