Mihov commanded an artillery battery during the Balkan Wars, taking part in the siege of Odrin.
During World War I, Mihov commanded a battery in the 15th Artillery Regiment and took part in the capture of the Tutrakan fortress, defended by Romanian troops.
From 11 April 1942 until 14 September 1943 he was the Minister of War in the second government of Bogdan Filov, a supporter of his politics.
On 9 September 1943, he became one of the three members of the Regent Council, which led Bulgaria after the death of Tsar Boris III and the coronation of the young Simeon II.
One year later, after pro-Soviet forces rose to power in Bulgaria, Mihov was arrested by Bulgarian communists.