President Mauricio Funes said he was "dismayed" by the photographer and journalist's killing, which he "strongly condemned."
The Central American leader called on authorities to "conduct all necessary investigations so that those responsible are brought to justice". He called on the country to unite to "combat together" the scourge of violence hitting El Salvador.
Poveda, police say, was on his way back from filming in gang-controlled La Campanera, a poor suburb north of San Salvador.
Poveda's most recent work was the documentary La Vida Loca, an unflinching portrait of youths caught up in El Salvador's gang culture.