[4] The village's historical name, Bezniskivtsi, was changed to Abrykosivka on August 15, 1966, by the Decree of the Presidium of the Supreme Soviet of the Ukrainian SSR.

In a cultural move, the Soviet authority changed lots of archaic oikonim-suffixed places, including those ending in -ivtsi (-івці).

At the time, the tax, calculated depending on the number of stoves and chimneys in the household, was called a "dym".

In 1565, a canon of the Kamianets-Podolskyi Catholic clergy, Thomas Hintor, owned and paid a tax for seven fields in Bezniskivtsi.

[8] In the 18th century, the landholders of Bezniskivtsi were Andrii Hurvskyi of Hurov, a Podolian stolnik, Mr. Zubarzhevskyi, a treasurer from Zwinogrod, and Franciszek Xavierusz Kackowski, a judge from Kamianets.

Empress Catherine the Great granted control of the land that the village is located in to the nieces of Prince Grigory Potemkin.

In the late-19th century, the land belonged to Kamianets lawyer Danylo Babychov, with his estate managed by Lukyan Sosnovskyi.

[9] In 1924, the Agricultural Proletarian artel was organized in Bezniskivtsi, led by Semen Hytilis and Alexander Sas.

On June 13, 2023, the parish of St. Nicholas transferred from the Moscow Patriarchate to the Orthodox Church of Ukraine.