We analyze isotropic and anisotropic acoustooptic interactions in Tl 3 AsS 4 crystals in the principal crystallographic planes under the condition that the optical and acoustic waves propagate close to the crystallographic axes. We find that the maximal acoustooptic figures of merit are equal to 2181×10 -15 s 3 /kg and 1990×10 -15 s 3 /kg for the cases of isotropic and anisotropic diffractions, respectively.