Okolie unleashed a devastating finishing punch to drop Glowacki heavily in the sixth round and referee Marcus McDonnell called off the fight to confirm the coronation of the new British world title holder at SSE Arena in Wembley.
The undefeated 28-year-old had emulated Tony Bellew, David Haye and Johnny Nelson, who previously held world crowns in the 200-pound category, and promoter Eddie Hearn has announced his desire to lead unification fights.
Producing a telemetry jab, Okolie followed with a right hand to push Glowacki to his heels in the first round.
The Pole was kidnapped by the longer members of Okolie, who stabbed with punches and punches to the body in the second round.
Okolie continued to aim for Glowacki’s ribs in the third, then stepped up his assault in the fourth as a right hand faltered his 34-year-old opponent.
The shaking punches punished Glowacki whenever he strayed within range in fifth before Okolie brought the fight to a brutal end in the next round.
A destructive right hand threw Glowacki onto his back and he climbed unsteadily to his feet, prompting referee McDonnell to signal Okolie’s triumph.