Rains have been hitting the area and the agency says climatic conditions as well as the still-hot volcanic material deposited on the villages makes it risky for the rescuers. Nearly 200 people reported missing.
Conred, the national disaster agency, said climatic conditions and still-hot volcanic material were making it unsafe for rescuers, and it was also taking into account the fact that 72 hours had passed since Sunday's eruption.
At least 99 people have been confirmed killed, a number that is expected to rise with almost 200 still missing.
The latest report from the Disaster Reduction National Coordinating Committee (CONRED) states that about 58 people have been injured, while more than 12,000 are evacuated in 21 centers authorized by the government and churches, and those affected exceed 1.7 million.
The White House said in a statement it was also dispatching aircraft to transport burn victims for treatment in Florida.
Rocca noted that ash had fallen across more than half of Guatemala, covering areas where agriculture is crucial.
Fuego, or "Fire" in Spanish, lies about 25 miles (40 km) southwest of the capital, Guatemala City, near the picturesque colonial city of Antigua, a UNESCO world heritage site.
The IFRC has pledged more than 250,000 Swiss francs (£188,553) to support rescue efforts, and said those worst hit would need at least a year to recover.
"Nobody is going to be able to get them out or say how many are buried here", Efrain Suarez, a 59-year-old truck driver helping with the rescue efforts at the devastated village of San Miguel Los Lotes, told the AP. That's the length of time officials had said earlier that some victims might have survived.
"My father, my mother, my sisters are there", she said, upset over rescuers' decision to suspend their search.
It urged people to stay away from the area.
Hospital officials began working with Guatemalan and USA officials to mobilize this effort within 24 hours of the disaster, so the victims would be able to get immediate treatment and care.
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