While Farah went on to win his maiden marathon title in Chicago, Kipchoge shattered the world record by 78 seconds as he completed the Berlin Marathon in two hours, one minute and 39 seconds.
"It is always a great honour to come and race the Virgin Money London Marathon and I'm excited to be returning in 2019," Kipchoge, who will be favourite to win his fourth London title on April 28, said in a statement.
"I had a memorable 2018, winning the Virgin Money London Marathon and then setting a new world record at the Berlin Marathon. I'm hoping that 2019 is just as good to me.
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"I am looking forward to racing Sir Mo Farah again. He is a great champion and proved in Chicago that he can win a major marathon so I relish the battle with him and also the many other great athletes that I'm sure will once again be on the start line in London."
Kipchoge, 34, and Farah, 35, are currently joint leaders of the World Marathon Majors Series XII and could seal the title with a victory in London.
"We will see two absolute legends of distance running competing over 26.2 miles of roads in the greatest marathon in the world," London Marathon's event director Hugh Brasher said.
"I cannot wait until Sunday 28 April to see who comes out on top."
(Reporting by Hardik Vyas in Bengaluru; Editing by Christian Radnedge)
