The Tech for Good programme, which previously ran in 2017 and 2018, will run for three years until 2021, the charities announced.
Tech for Good will offer funding for projects that use technology to deliver better services, the charities said in a statement. It will also offer support form experts and advisers.
Grants of up to £48,000 are available over a nine-month period, a spokeswoman for the Paul Hamlyn Foundation said.
The charities are looking to fund projects at any stage of development, the spokeswoman said, "with solid, user-centred research, a clear problem to address and a compelling digital solution for achieving this".
Applicants will also be expected to address Comic Relief’s four core issues: helping children survive and thrive; global mental health matters; fighting for gender justice; and helping people have safe places to live.
Successful applicants will have the opportunity to collaborate and share learning with other organisations, the charities said.
Applications for the next round of funding open on 11 February and run until 25 March.
Projects that received funding from previous years of the Tech for Good programme have included a Braille e-reader, digital food vouchers and an app to help young rough sleepers find safe beds for the night.