Various high-profile guests, many dressed in black, arrived at Stanford University's Memorial Church for the service, which came ahead of a company memorial scheduled for Wednesday.
Details of who attended the event have not been disclosed, but The Wall Street Journal reported that invitations were extended to executives from the technology and media industries, as well as various celebrities.
It is thought that Apple software chief Scott Forstall, former US president Bill Clinton, journalist Maria Shriver and U2 singer Bono were in attendance, along with News Corporation chief digital officer Jon Miller.
The service was followed by a reception at the university, where Jobs gave a famous and much quoted speech in 2005. It also came one week after a small private funeral for Jobs.
Jobs, who masterminded products such as the iPhone, iPod and iPad, died on October 5 at the age of 56 after a long battle with pancreatic cancer.
He will also be honoured on October 19 in a memorial for Apple employees at the company's headquarters in Cupertino, California.
"We are planning a celebration of Steve's extraordinary life for Apple employees that will take place soon," Apple chief executive Tim Cook said in a statement released on the day Jobs died.
There have been no confirmed plans for a public memorial, but people have paid their own tributes to Jobs around the world over the past few weeks at Apple Stores and other places.
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