He descended from the ancient noble landowner's family of Ruthenian origin, known from end of 15th century. 22 June 1759 he was recorded as corporal into the Observational Corps, but started service only 21 December 1761 as ensign of Ukrainian Narodnoe Opolcheniye Corps. In 1762 he was moved into Manezh Company (Манежная рота). On 19 August 1818 Vyazmitinov was granted a comital title. He was buried in the Lazarev burial-vault of the Alexander Nevsky Monastery.