The match took place at the Olimpiyskiy National Sports Complex in Kyiv on December 1, according to Ukrinform.
Dentinho scored in the 57th minute and Manor Solomon made it 2-0 in the 82nd minute.
In another Group B match, Borussia Monchengladbach lost 2-3 to Inter in Germany.
Borussia are on top of the group with eight points. Shakhtar and Real have seven points each, and Inter collected five points.
In the final round of the group stage of the Champions League, Shakhtar will take on Inter on December 9, and Real will face Borussia.
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