Mr Noble wrote about his illness in a popular column for BBC News, which ran from September 2002 to 31 January 2005 when he died.
The bursary will be open to journalists with less than two years' experience and will offer a six-month placement on with bbc.co.uk.
Applicants must have an interest in science and technology and will work on news reports and features for the technology section of the site.
In a BBC interview, BBC News Interactive editor Pete Clifton said that a bursary was the most meaningful tribute to Ivan.
"We will throw all we can at this journalist to give them a great start and to help them write with passion about a subject Ivan felt so strongly about," said Mr Clifton.
Details will be advertised soon on the BBC News website.
More news from dotJournalism:
A soulless day without BBC News
Brave BBC columnist loses cancer battle
Tumour terror chronicled
Free daily newsletter
If you like our news and feature articles, you can sign up to receive our free daily (Mon-Fri) email newsletter (mobile friendly).
Related articles
- Meet the inspiring, disabled journalists working their dream jobs
- Shaping the future of journalism: insights for the next generation
- New free course on war reporting launched
- Solutions journalism superstars: media mentor and trainer, Swati Sanyal Tarafdar
- Preethi Nallu, global director, Report for the World, on strengthening media ecosystems