At least 12 persons are still missing, and probably trapped under tons of waste at the Koshe waste dump.
Diriba said among the total 46 victims 32 are women who were among hundreds of poor residents who had long made the vast garbage damp as permanent residence to make a living.
A city spokeswoman told AP news agency that many children were among the dead.
Dozens of makeshift houses were flattened after the landslide at roughly 50-year old Addis Ababa's garbage damp collapsed last night.
Dozens of people were killed on Saturday during a landslide at a garbage dump in the Ethiopian capital of Addis Ababa.
Six excavators dug through the debris on Sunday as some onlookers cried and others stood waiting anxiously for news of loved ones.
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"It's a sad story because the government has been trying to resettle the people residing in the area", the country's communications minister, Negeri Lencho, said.
'My mother and three of my sisters were there when the landslide happened.
The Post cited a local official as saying dumping at the site had stopped for several years, but had recently resumed, likely triggering the landslide. Some 500 waste pickers are believed to visit the dump every day, sifting through the waste of the better off for anything of value.
"We expect the number of victims to increase because the landslide covered a relatively large area", she said.
A $120-million deal between a United Kingdom company and the Ethiopian Electric Power Corporation in 2013 intends to turn the "towering mountain of waste" into clean energy. City officials say close to 300,000 tons of waste are collected each year from the capital, most of it dumped at the landfill.