Visitors to the Apple website were greeted with a brief video showing snippets of Jobs and the various products he introduced, from the early Apple computers to the iPhone, and a message from chief executive Tim Cook.
"Steve's passing one year ago was a sad and difficult time for all of us," Cook wrote. "I hope that today everyone will reflect on his extraordinary life and the many ways he made the world a better place."
Jobs died October 5, 2011 at the age of 56, after a long battle with cancer.
"One of the greatest gifts Steve gave to the world was Apple," Cook said. "No company has ever inspired such creativity or set such high standards for itself. Our values originated from Steve and his spirit will forever be the foundation of Apple. We share the great privilege and responsibility of carrying his legacy into the future."
Cook added: "I'm incredibly proud of the work we are doing, delivering products that our customers love and dreaming up new ones that will delight them down the road. It's a wonderful tribute to Steve's memory and everything he stood for."
Despite the loss of Jobs, Apple has maintained and even extended its leadership with a record-breaking introduction of the iPhone 5, helping lift its shares to record highs.
Apple is also widely expected to introduce a smaller version of its market-leading iPad later this month, which may be another huge success. But analysts said this may not be an indication of Apple's long-term future.
"Apple can continue to fly along on the fumes of the Steve Jobs-era for quite a while," said Roger Kay, an analyst and consultant with Endpoint Technologies Associates.
Jobs and Apple had "a lot of things in the pipeline" before he died and these ideas can keep fueling Apple for some time, he added. "What Steve could do was envision a product market that didn't exist at all," Kay said. "There aren't many people who can do that. Not at Apple, maybe not anywhere."
Over the long term, Kay said the outlook is less clear. Apple's success was not just the work of one person, said Kay, but Jobs was at the center of it.
"You can have an orchestra, and all the players are very fine, but the conductor is the guy who pulls it all together and makes it sounds like an orchestra," he said. "That's the way he ran Apple."
Trip Chowdhry at Global Equities Research said Apple may never be the same. "Our research is indicating that probably this is the peak for Apple," Chowdhry said in a note to clients.