From 2002 to 2004, Minkh was the Plenipotentiary Representative of the Government of Russia [ru] in the Federation Council.

Together with his wife, Minkh owns a land plot with an area of 17 acres, a dacha with outbuildings, a guest house, 3 apartments and two cars.

[2] According to the data posted in the declaration containing information on income, expenses, property and property obligations of persons holding government positions in Russia, in 2018 Minkh earned 13 391 942 rubles, for 2019 - 143.7 million rubles (in 11 times more).

[4] On 19 January 2011, driving along the Rublevo-Uspenskoe highway [ru], Minkh in BMW 5 Series with registration number A073MP97, collided with an Opel Astra, driven by a 23-year-old woman.

[5] Minkh escaped with an abrasion, and the driver of the Opel Astra was hospitalized in serious condition.