The 34-year-old defenseman will be suiting up for the Atlantic Division squad captained by Boston Bruins sniper David Pastrnak.
This will mark Weber's seventh appearance in the midseason showcase, and his second as a member of the Canadiens.
He previously represented the Nashville Predators at the annual event in 2009, 2011, 2012, 2015 and 2016, before representing Montreal in 2017.
Weber is enjoying an excellent season with 12 goals and 31 points in 39 games.
The Sicamous, BC native, who boasts a plus-9 differential, ranks third among NHL blueliners in goals and sits tied for fifth in points.