Edmund, who reached the semi-finals of the Australian Open in January, will start as underdog against the Serbian on Saturday but will be buoyed by recent form and stands a chance of an upset against the No 12 seed, who has struggled with an elbow injury this year.
"I'm really happy to get the win, it was the second time I've played on Centre Court and the first time I've won," Edmund told the BBC.
"Growing up as a kid I've always dreamed of playing here and to win is great."
No. 2 Rafael Nadal defeats Mikhail Kukushkin 6-4, 6-3, 6-4