In a blog post, Berners-Lee said his new project was named Solid and was being developed with the help of a few people at the Massachusetts Institute of Technology.
He said the new model would give the individual complete control over data and would be based on the existing Web.
"Solid changes the current model where users have to hand over personal data to digital giants in exchange for perceived value," Berners-Lee wrote.
Solid would give all users a say in where data was stored, who could access it and the apps that were used by an individual.
"In 2009, I said, 'The Web as I envisaged it we have not seen yet'. That was because people were using the Web just for documents, not for the data of a big web-wide computer," Berners-Lee said.
"Since then, we have seen a wave of open data, but not of read-write data. For example, much open government data is produced through a one-way pipeline, so we can only view it. With Solid, it becomes a read-write web where users can interact and innovate, collaborate and share."
To this end, he said he had founded a company named inrupt which would be the infrastructure allowing Solid to flourish.
"Its mission is to provide commercial energy and an ecosystem to help protect the integrity and quality of the new web built on Solid," Berners-Lee said.