 He is married to Beatriz Rojkés de Alperovich, who has served as National Senator and president of the Justicialist Party in his province.Alperovich was born in Banda del Río Salí to Marta León, an Argentine Jew, and León Alperovich, a Lithuanian Jew from Lithuania whose parents had settled in one of the numerous Jewish agricultural colonies in Argentina.His father relocated to Tucumán Province and later established "León Alperovich S.A.", one of the most important auto dealerships in Tucumán.