Yitzhak Frenkel was born in 1899 in Odessa, Russian Empire. He was a great-grandson of the famous Rabbi Levi Yitzchok of Berditchev. In 1917, he studied under Aleksandra Ekster at the Fine Arts Academy in Odessa. Frenkel immigrated to Mandate Palestine in 1919 as part of the first wave of settlers of the Third Aliyah.
He died in Tel Aviv in 1981 and was buried in Safed.