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The membership determination for open clusters in noisy environments of theMilky Way is still an open problem. In this paper, our main aim is provide themembership probability of stars using proper motions and parallax values ofstars using Gaia EDR3 astrometry. Apart from the Gaia astrometry, we have alsoused other photometric data sets like UKIDSS, WISE, APASS and Pan-STARRS1 inorder to understand cluster properties from optical to mid-infrared regions. Weselected 438 likely members with membership probability higher than $50\%$ andG$\le$20 mag. We obtained the mean value of proper motion as$\mu_{x}=1.27\pm0.001$ and $\mu_{y}=-0.73\pm0.002$ mas yr$^{-1}$. The cluster'sradius is determined as 7.5 arcmin (5.67 pc) using radial density profile. Ouranalysis suggests that NGC 1348 is located at a distance of $2.6\pm0.05$ kpc.The mass function slope is found to be $1.30\pm0.18$ in the mass range1.0$-$4.1 $M_\odot$, which is in fair agreement with Salpeter's value withinthe 1$\sigma$ uncertainty. The present study validates that NGC 1348 is adynamically relaxed cluster. We computed the apex coordinates $(A, D)$ for NGC1348 as $(A_\circ, D_\circ)$ = $(-23^{\textrm{o}}.815\pm 0^{\textrm{o}}.135$,$-22^{\textrm{o}}.228\pm 0^{\textrm{o}}.105)$. In addition, calculations of thevelocity ellipsoid parameters (VEPs), matrix elements $\mu_{ij}$, directioncosines ($l_j$, $m_j$, $n_j$) and the Galactic longitude of the vertex havebeen also conducted in this analysis.

Detailed analysis of the poorly studied northern open cluster NGC 1348 using multi-color photometry and GAIA EDR3 astrometry