Kipchoge made it three wins from as many appearances at the London Marathon last year, finishing more than two minutes clear of European record holder Farah, who came third in his first year since retiring from the track to focus on marathon in 2017.
"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 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.
"I cannot wait until Sunday 28 April to see who comes out on top." (Reporting by Hardik Vyas in Bengaluru Editing by Christian Radnedge)
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