Openreach, which has responsibility for the overall network on behalf of most phone companies, supports 19 million properties that take high-speed fibre lines.
It said the new recruits will help it improve customer service and bring the technology to more homes.
The business expects a significant number of the engineering roles to be taken up by ex-service men and women. Openreach said it wants to recruit more female engineers.
Openreach chief executive Joe Garnersaid: "Millions of customers depend on broadband and they rely on us to keep them connected."