Krum Milev () was a Bulgarian football player and manager. He is often considered as the most successful Bulgarian coach.
He played for Botev Sofia, Slavia Sofia and Lokomotiv Sofia. He obtained 18 caps with Bulgaria.
He was the topscorer of the Bulgarian National Football Division 1937-38.
He managed CSKA Sofia, winning the Bulgarian league 11 times with them, Bulgaria, Beroe Stara Zagora and Beşiktaş.
Milev holds the record for the longest serving manager (of a single club) in Bulgarian football, having been in charge of CSKA Sofia for 16 years.