The 84-year-old archbishop will remain in the hospital for one or two weeks, according to the statement for his family. They noted that Tutu went through a similar treatment last year.
He also underwent hospital tests for a persistent infection in 2013. A year later, he canceled travel plans because of a long-running battle with prostate cancer.
Tutu, who received the Nobel Peace Prize in 1984 for his efforts to end apartheid in his native South Africa, has remained active with the Desmond Tutu Peace Foundation and other organizations.
He played a key role in that nation's transition from the apartheid era, including serving as chairman of the Truth and Reconciliation Commission at the direction of then-President Nelson Mandela.