Portraitist, decorator, and icon-painter (according to painter himself, he made miniatures on enamel).
He was the son of a soldier of the Semyonovsky Life Guard Regiment, who had also worked as a metalwork master at the Saint Petersburg Armoury court, and then at the Committee for Construction in Saint Petersburg. Starting from 1739, A. P. Antropov was employed in the Committee for Construction in the so-called 'fine art team'. His teachers were L. Caravaque, A. M. Matveev, M. A. Zakharov and I. Ya. Vishnyakov. He took part in the decorative wall painting of the Winter, Summer, Anichkov Palaces and New Opera House, and worked in Peterhof. In 1745, he created icons for the Trinity Church in Saint Petersburg and plafond for the palace church of Tsarskoe Selo. From 1752 to 1755, he lived in Kiev and worked on the wall paintings for the Cathedral of St Andrew. In 1758, he returned to Saint Petersburg and resumed the work in the 'fine art team' of I. Ya. Vishnyakov.
In 1759, he was assigned as a fine art master at the Moscow University. In 1761, he took the seat of a supervisor over artists and icon-painters in the Synod, where he worked till the end of his life. In 1762-1763, he participated in the decoration of the coronation ceremony of Empress Catherine II. He ran a private school. In 1789, the artist turned his house over to a welfare board to establish a public school in it. Among his students were D. G. Levitsky and P. S. Drozhdin.