Novak Djokovic overcame some strong play by Kwon Soon-woo to take the fourth set and the match.
Djokovic was deported from Melbourne in January due to his refusal to be vaccinated, forcing him to abandon his quest for the 10th Australian Open title.
Former world number one Naomi Osaka says she is "leaning more towards not playing given the current circumstances."
The decision by the tennis' main tours is in response to Wimbledon banning Russian and Belarusian players following the Russia's offensive in Ukraine.
Tennis legends Rafael Nadal and Novak Djokovic label ban on Russian and Belarusian players from this year's Wimbledon over Moscow's assault on Ukraine "unfair," saying they are not responsible for the offensive.
Novak Djokovic can defend his Wimbledon title after organisers say players who are not vaccinated against Covid-19 will be allowed to compete.
The grasscourt Grand Slam is the first tennis tournament to ban individual competitors from the two countries, drawing a sharp reaction from the world number one player.
The tennis players will not be allowed to compete at Wimbledon this year due to Moscow's attack on Ukraine, according to a report. Kremlin rejected the ban as unacceptable.
A British court declared tennis legend bankrupt in 2017 after he failed to pay a long-standing debt.
It was Novak Djokovic's sixth Wimbledon title and 20th at a major tournament, putting him tied for first on the all-time list with Roger Federer and Rafael Nadal.
Ash Barty defeats Karolina Pliskova 6-3, 6-7 (4), 6-3 for her second Grand Slam title, which also came on 50th anniversary of fellow Australian Evonne Goolagong Cawley's maiden crown.
Roger Federer's dream of winning a record-equalling ninth Wimbledon title ends with a heartbreaking quarter-final defeat by Poland's Hubert Hurkacz. Separately, Novak Djokovic reaches semi-final after defeating Hungary's Marton Fucsovics.
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