The ordinal spilt reached through 6-1, 6-3 to position his ordinal success over the Frenchman in five gatherings.
World amount seven Goffin, last year's losing rival, totally dominated as he set up a second-round neckwear with European Feliciano Lopez, prevailing in just 64 minutes.
Roger Federer opens his crusade at the Ahoy territory on Wednesday, with the Swiss looking to outdistance Rafael Nadal and become the oldest-ever world amount one by approaching the semi-finals.
Earlier on Tuesday, ordinal spilt Gilles Muller of Luxembourg lost to Russian contestant Daniil Medvedev 6-4, 7-6 (11/9).
Slav Viktor Troicki saw off Jan-Lennard Struff 1-6, 7-6 (7/5), 6-2, while Struff's male German Philipp Kohlschreiber combated back to beat Russia's Karen Khachanov 3-6, 7-6 (7/1), 7-6 (7/5).
Three-time impressive victory champion Stan Wawrinka continues his reply from injury later on Tuesday with his first-round noise against residence contestant Tallon Griekspoor.