The family also announced that a website will be erected "for those who wish to offer tributes and memories."
Steve Jobs has been battling pancreatic cancer since 2004. He took his third and final leave of absence in January 2011 and resigned as CEO in August.
The complete statement from his family is included below:
"Steve died peacefully today surrounded by his family.
In his public life, Steve was known as a visionary; in his private life, he cherished his family. We are thankful to the many people who have shared their wishes and prayers during the last year of Steve's illness; a website will be provided for those who wish to offer tributes and memories.
We are grateful for the support and kindness of those who share our feelings for Steve. We know many of you will mourn with us, and we ask that you respect our privacy during our time of grief."
More Coverage of Steve Jobs's Death
NEWS:
Steve Jobs Authorized Biography Release Date Bumped Up
Newspapers React to the Death of Steve Jobs [PICS]
Steve Jobs’s Other Amazing Companies: NeXT and Pixar
GALLERIES:
Steve Jobs, 1955-2011: The Web Remembers
15 Inspirational Steve Jobs Quotes
Mourners Create Impromptu Memorials for Steve Jobs at Apple Stores [PICS]
In Memoriam: Letters to Steve Jobs
VIDEOS:
Steve Jobs Remembered: 10 of His Most Magical Moments [VIDEO]
Steve Jobs’s 2005 Stanford Commencement Speech [VIDEO]
Steve Wozniak on Steve Jobs [VIDEOS]
CONDOLENCES :
Apple’s Board of Directors on Steve Jobs
Apple Pays Tribute to Steve Jobs
Jobs Family Statement: “Steve Died Peacefully”
Mark Zuckerberg Pays Tribute to Steve Jobs
Google Founders: Steve Jobs Was an Inspiration
Disney CEO: “Jobs Was Such an Original”
Bill Gates: “I Will Miss Steve Immensely”
President Obama on Steve Jobs: “The World Has Lost a Visionary”
Google’s Homepage Pays Tribute to Steve Jobs
OTHER:
RIP Steve Jobs: Share Your Condolences [OPEN THREAD]