After a humiliating 4-1 defeat to Georgia, the Czech team made significant changes to their lineup. They quickly took the lead against Ukraine as Sulc deflected a powerful shot by Vaclav Cerny into the net, leaving goalkeeper Anatoliy Trubin with no chance to save it.
Ukraine kept pushing forward and equalised in the 37th minute when Vladyslav Vanat headed home after Mykola Shaparenko whipped in a cross from the left flank.
Sulc netted his second for the Czechs just before the break when he brought the ball down with his chest and hammered a volley into the net. Captain Tomas Soucek extended their lead with an 80th-minute penalty before Georgiy Sudakov pulled a goal back for Ukraine.
Ukraine remain winless in Group B1 while the Czechs notched their first victory. The Czechs next host Albania while Ukraine face Georgia in October.