Environmental activists said on Monday that the fire, near the site of the world's worst nuclear disaster in 1986 and believed to have been started deliberately, posed a radiation risk.
The emergency service said it was still fighting the fires but the situation was "fully under control".
A group of Chernobyl miners are hoping the renewed international attention from an HBO miniseries means their sacrifice won't be forgotten.
A Chernobyl tour agency reported a 40 percent rise in trip bookings since the Chernobyl mini series made by HBO, began in May.
In the early hours of April 26, 1986, a botched test at the Chernobyl nuclear plant in former Soviet Ukraine triggered a meltdown, ultimately killing and displacing thousands.
Ukraine marks 30 years since the world's worst nuclear accident that killed thousands in Chernobyl.
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