"This isn't something that has us scared," Palacio said at a news conference. He said Uribe is not considered a high-risk patient.
Public health director Gilberto Alvarez said in a telephone interview that there was no need to put the president in isolation and that his condition would monitored for three days to a week. No family members or close associates of Uribe have shown swine flu symptoms, officials said.
During a Union of South American Nations summit of the region's presidents Friday, Uribe spent hours defending his plan to give U.S. troops more access to Colombian bases as part of his government's fight against drug traffickers and leftist rebels. Many of his colleagues have voiced concerns about the idea.
Palacio said Colombia's foreign ministry was informing governments whose leaders may have come in contact with Uribe.
No governments immediately commented on Colombia's announcement or reported that officials were sick.
Dr. Alberto Cortez, an infectious disease specialist at Colombia's Universidad Nacional, said it is possible the disease could have been passed on to other leaders at the summit. But he added it needs to be established when Uribe became sick to determine whether he picked up the virus in Argentina - where there are many cases - or if he arrived there with the disease.
The presidential office released a brief statement saying Colombia's National Health Institute confirmed that Uribe had swine flu. It said his case was "developing satisfactorily."
National Health Institute director, Juan Gonzalo Lopez, said Uribe's case was confirmed on Sunday and that he had complained of body pains and general discomfort.
Local media said the president appeared congested and was sneezing during a meeting with regional officials Saturday.
Uribe is the second Latin American leader to come down with the swine flu.
On Aug. 11, Costa Rican President Oscar Arias announced he had swine flu and was being quarantined at his home. The 69-year-old leader, who won the 1987 Nobel Peace Prize for his work in ending Central America's civil wars, has recovered.
Cesar Mauricio Velasquez, spokesman for Uribe, said Uribe planned to handle his duties while recovering.
"The president will continue doing his work by computer," Velasquez said in a phone interview.
Colombia has reported 621 confirmed cases of swine flu, including Uribe's. There have been 34 deaths from the illness, the government says.