Ukraine struck first against Group C leaders England thanks to Oleksandr Zinchenko's first-half strike and defender Kyle Walker levelled just before the break.
Exhausted Ukraine players applauded their supporters who chanted and waved flags for the full 90 minutes and celebrated the draw like a victory when the referee blew the final whistle.
"This is a big responsibility and I'm very proud," Rebrov said of his role as manager.
England lead the group with 13 points from five games followed by Ukraine on seven from four.
The draw with Ukraine was the first time England dropped points in their qualifying campaign.
Persons:
Serhiy Rebrov, Oleksandr Zinchenko's, Kyle Walker, Rebrov, Michael Kahn, Ed Osmond
Organizations:
England, Ukraine, Group, Thomson
Locations:
WROCLAW, Poland, Ukraine, Russia, Moscow, England