Haas star Hulkenberg made a promising start to proceedings, jumping three places inside the opening lap to edge into the top 10, before dropping back to P11 shortly after.
Tsunoda, meanwhile, has endured a frustrating afternoon at the rear of the grid, failing to make any progress after a poor qualifying session on Saturday.
The Visa Cash App RB driver had been hoping for a return to form after a disappointing showing in Montreal last time around, but was powerless to make an impression on his nearest challengers.
To make matters worse, the Japanese racer was handed with an infringement alongside Hulkenberg, after both were deemed to have exceeded pit-lane speed limits.