Ivan Vsevolodovich Meshchersky (Russian: Ива́н Все́володович Меще́рский, 1859–1935) was a Russian and Soviet mathematician who gained fame for his work on mechanics, notably the motion of bodies of variable mass.

Ivan Vsevolodovich Meshcherskiy was born in Arkhangelsk.

After graduation from Arkhangelsk Gymnasium, Meshcherskiy studied mathematics at the Saint Petersburg Imperial University from 1878 to 1882.