Apple plans private commemoration event for employees
Apple said that it was "planning a celebration of Steve's extraordinary life" following his death on Wednesday.
In an internal memo to staff, Apple chief executive Tim Cook said those who worked closely with Jobs had "lost a dear friend and an inspiring mentor".
"We will honor his memory by dedicating ourselves to continuing the work he loved so much," he said.
Meanwhile Apple co-founder Steve Wozniak said his friend would live on through his products.
"We've lost something we won't get back but the way I see it, though, the way people love products that he put so much into creating means he brought a lot of life to the world," he said in an interview with PA.
Wozniak said that he had last seen Jobs three months ago, shortly after he temporarily came out of medical leave to unveil Apple's iCloud service.
Wozniak said that Apple's market-changing products - from the Macintosh computers, through to the iPod, iPhone and iPad - were down to Jobs' instinctive feel for what people wanted from technology.
"While everyone else was fumbling around trying to find the formula, he had the better instincts."
The pair met at high school and hooked up again after Jobs dropped out of college and returned to California.
Together they attended meetings of the Homebrew Computer Club - a group of computer hobbyists.
Mr Jobs saw potential in Wozniak's homemade machine and they started Apple Computer Inc in Jobs' parents garage in 1976.
According to Wozniak, Jobs came up with the name after visiting an apple orchard.
Tributes to the former Apple leader continued to pour in on Twitter.
Mac fan Stephen Fry tweeted: "Woke to the news of Steve Jobs' death. He changed the world. I knew him a little and admired him entirely. Love to Apple and his family."
Meanwhile Amstrad founder Lord Sugar said "Gutted; Steve Jobs died. We started our computer biz at the same time and were competitors thru 80s. Great visionary. Sadly missed. RIP".
BBC director-general Mark Thompson paid tribute to Mr Jobs at the start of an internal staff meeting to lay out the proposed cuts at the corporation.
"It is hard to think of anyone who has changed media more in the last 10 years. Our sympathy goes to his family," Mr Thompson said.