Medical sources confirmed on Saturday that the children died in lower Shabelle regional town of Merka, a Press TV correspondent reported.
Saturday's deaths come as the United Nations has warned that all areas of southern Somalia are slipping into famine, adding that the crisis will continue to worsen for at least three to four months.
Meanwhile, seven humanitarian flights carrying food and medical supplies from Arab nations and the UNICEF aid groups have arrived in the Somali capital city, Mogadishu.
Government officials say they will soon begin distributing food among the starving people in south Mogadishu.
The UN warned on Friday that it had raised its appeal for urgent funds by a quarter to about $1.5 billion "to provide life-saving assistance to more than 12 million people" across the four countries of the Horn.
Thousands of Somalis have fled to the neighboring Kenyan camp of Dadaab, which is currently hosting more than 440,000 refugees.
The Kenyan government has urged the UN to set up camps inside Somalia, saying the huge influx of refugees rushing to Kenya in search of food and shelter is unmanageable.
The UN and aid agencies have described the current situation in the East and Horn of Africa as the worst drought in 60 years and the “worst humanitarian crisis in the world.”