In this talk, I will construct new BMS charges which are able to measure some local energy flux on the celestial sphere. For this, I will introduce an edge mode, the supertranslation field, that has already been encountered in the literature. I will show that the new charges represent the BMS group, are covariant and independent on any choice of background structure, i.e choice of foliation or conformal factor. Furthermore, there is no cocycle or central extension in the representation of the algebra. I will check that these charges have all the properties required for an asymptotic notion of (local) energy on the celestial sphere.