It is known that the interferon-inducible 2',5'-oligoadenylate synthetase can catalyze the 2'-adenylation of various diadenosine polyphosphates. However, catabolism of those 2'-adenylated compounds has not been investigated so far. This study shows that the mono- and bis-adenylated (or mono- and bis-deoxyadenylated) diadenosine triphosphates are not substrates of the human Fhit (fragile histidine triad) protein, which acts as a typical dinucleoside triphosphate hydrolase (EC 3.6.1.29). In contrast, the diadenosine tetraphosphate counterparts are substrates for the human (asymmetrical) Ap 4 A hydrolase (EC 3.6.1.17). The relative rates of the hydrolysis of 0.15 mM AppppA, (2'-pdA)AppppA, and (2'-pdA)AppppA(2 -pdA) catalyzed by the latter enzyme were determined as 100:232:38, respectively. The asymmetrical substrate was hydrolyzed to ATP + (2'-pdA)AMP (80%) and to (2'-pdA)ATP + AMP (20%). The human Fhit protein, for which Ap 4 A is a poor substrate, did not degrade the 2'-adenylated diadenosine tetraphosphates either. The preference of the interferon-inducible 2'-5' oligoadenylate synthetase to use Ap 3 A over Ap 4 A as a primer for 2'-adenylation and the difference in the recognition of the 2'-adenylated diadenosine triphosphates versus the 2'-adenylated diadenosine tetraphosphates by the dinucleoside polyphosphate hydrolases described here provide a mechanism by which the ratio of the 2'-adenylated forms of the signalling molecules, Ap 3 A and Ap 4 A, could be regulated in vivo.