Tensor analyzing-power components $$T_{20}$$
T
20
, $$T_{21}$$
T
21
, and $$T_{22}$$
T
22
for the reaction $$\gamma d\rightarrow np\pi ^0$$
γ
d
→
n
p
π
0
have been studied for the first time in the photon energy range from 280 to 500 MeV. The data are extracted from the experimental statistics accumulated at the VEPP-3 storage ring in 2002–2003. The measured asymmetries are compared with the results of statistical simulations performed with the $$\gamma d\rightarrow np\pi ^0$$
γ
d
→
n
p
π
0
amplitude from a spectator model, taking into account corrections for the final-state interaction. The comparison demonstrates quite good agreement between the experimental results and the theory.