Sam Montembeault got the start in net for the Habs, while Juuse Saros was between the pipes for Nashville.
Martin St-Louis' squad has been searching for their first win since December 19, but the Predators made it difficult for the visitors. Forward Cody Glass scored his third of the season 4:10 into the game on a power play after defenseman Joel Edmundson took a delay of game penalty.
One minute and 39 seconds later, his teammate Colton Sissons tallied his fifth of the present campaign to double the home side's advantage.
It got worse for the Canadiens, as Mattias Ekholm tripled their lead a little past the halfway point of the opening frame.
The Habs brought themselves within two with 50 seconds left in the period when forward Cole Caufield scored his 22nd goal of the season. The winger broke out through the neutral zone before showing off his hands and mesmerizing netminder Saros.