Milaw clocked 2hr 07min 05sec, with Kenyan rival Lonyangata coming in third as 60,000 runners took to the streets of the French capital in cold, clear conditions.
2019_04 Paris marathon women's winner Gelete Burka
Gelete Burka produced a spurt of extra gas in the final kilometre to ensure an Ethiopian winner in the women's race with a time of 2:22:48.
France's Clemence Calvin, who was only cleared to race on Friday after the last-minute lifting of a temporary ban for evading a doping test last month in Morocco, smashed the French women's record.
Calvin finished fourth in 2:23:41, bettering by 41 seconds the previous national record set by Christelle Daunay in 2010.
2019_04 Paris marathon - Clémence Calvin French record
It also bettered by almost three minutes her own previous best of 2:26:28 which she set when finishing second in the European championships in Berlin last.year.