The United States, which has declared a public health emergency, has so far confirmed 65 human swine flu cases.
"I can confirm the very sad news out of Texas that a child has died of the H1N1 virus," the acting director of the Centers for Disease Control and Prevention, Dr. Richard Besser, told CNN, without giving further details.
Mexican health officials say that seven people are confirmed to have died from swine flu, with the H1N1 strain suspected of being behind another 152 deaths. Some 2,500 people are reported to have fallen ill with swine flu symptoms.
At least 13 cases of human swine flu have been confirmed in Canada. In Europe, swine flu cases have been confirmed in Spain, Germany, Austria and the U.K. Suspected infections have been reported in New Zealand, Israel, Brazil and Australia.
Countries around the world are taking measures to prevent a swine flu pandemic.
Russia has put restrictions on imports of pork and pork derivatives from all countries affected by swine flu until this summer.
The government said in a statement on its website on Wednesday: "A decision has been taken to extend until 1 June 2009 restrictions on the import of pork and processed pork products that have not undergone heat processing" from affected countries.
According to the World Health Organization, the swine influenza virus is killed by cooking temperatures above 70 degrees Celsius (160 degrees Fahrenheit).
The WHO has raised the level of swine flu pandemic alert from phase 3 to 4, implying a significant risk increase, two steps short of a full pandemic.