The disciplinary action announced on Wednesday was a second offense for Neuvirth. The first offense merited a warning, and occurred during a game against the Toronto Maple Leafs on Nov. 15.
Fines increase with each instance up to $5,000 following a fifth offense.
The punishment came after the league's Hockey Operations Department reviewed an interference penalty called against Nashville's Mike Santorelli early in the second period of the Predators' 2-1 shootout win.
In a separate move, Buffalo returned rookie defenseman Jake McCabe to AHL Rochester. The Sabres had the day off, and host Vancouver on Thursday.