The allegation was made in an open letter to Public Order Minister Nikos Dendias by the The Association of Afghans United in Greece.
The group refers to a witness statement by refugee Ahsan Hossin Zade, who claims that two policemen entered on Wednesday the central Athens apartment where he and some compatriots are living.
Zade claims that the officers used clubs to beat the men when they failed to meet demands to hand over any money they had. The alleged victim said his compatriots managed to flee but that the officers pushed him off the balcony.
The group asked Dendias to investigate the claims.