Jobs, who is under treatment and expects to regain body mass by late spring, said he plans to remain as CEO of Apple.
The board of the iPhone maker issued a statement on Monday, expressing their support for Jobs.
"Apple is very lucky to have Steve as its leader and CEO, and he deserves our complete and unwavering support during his recuperation," the board said, in its statement. "He most certainly has that from Apple and its Board."
The comments, which may put to rest concerns about Jobs' health, led to an increase in the price of Apple shares. The stock was recently up more than 3 percent to $93.81.
Although there were repeated rumors about Jobs' health throughout most of last year, the speculation intensified in recent weeks after Jobs said he would not be making his annual keynote address at the Macworld conference in San Francisco, which begins Tuesday.
Apple said this year's conference will be its last, and Phil Schiller, a marketing executive, will be giving the company's presentation.
Jobs, 52 years old, is a survivor of pancreatic cancer.