  We analyze the membership probability of young stars belonging to nearby
moving groups with $\textit{Gaia}$ DR2 data. The sample of 1429 stars were
identified from 'The Catalog of Suspected Nearby Young Moving Group Stars'.
Good-quality parallax and proper motion values were retrieved for 890 stars
from $\textit{Gaia}$ DR2 database. The analysis for membership probability is
performed in the framework of LACEwING algorithm. From the analysis it is
confirmed that 279 stars do not belong to any of the known moving groups. We
estimated the $\textit{ U, V, W}$ space velocity values for 250 moving group
members, which were found to be more accurate than previous values listed in
the literature. The velocity ellipses of all the moving groups are well
constrained within the "good box", a widely used criterion to identify moving
group members. The age of moving group members are uniformly estimated from the
analysis of $\textit{Gaia}$ Color-Magnitude Diagram with MIST isochrones. We
found a spread in the age distribution of stars belonging to some moving
groups, which needs to be understood from further studies.
