A variety of new derivatives of 9,10-anthracenedione with mono- and bisdithiocarbamate moiety in the non-catalytic conditions have been synthesized. The obtained compounds were screened for their antioxidant capacity using the cupric-reducing antioxidant capacity (CUPRAC) method. Three of the compounds showed CUPRAC-Trolox equivalent antioxidant capacity (TEAC) coefficients higher than trolox. Scavenging effects on reactive oxygen species (ROS), hydroxyl radical scavenging (HRS), hydrogen peroxide scavenging (HPS), and superoxide anion radical scavenging (SARS) of all synthesized compounds were determined. It was established that the results of HRS-, HPS-, and SARS-CUPRAC methods for three compounds are in accordance with TEAC-CUPRAC assay data.