The three partnerships cover Norfolk and Suffolk; the Black Country and Worcestershire.
They join 24 approved partnerships that were announced in October at the launch of the Government's Local Growth White Paper.
Business Secretary Vince Cable and Communities Secretary Eric Pickles announced the new additions on Monday (13 December).
Local enterprise partnerships would bring local business and civic leaders together, working to support their local economy, they said.
Dr Cable said: "I am pleased that we are able to ask another three local enterprise partnerships to appoint their boards. The partnerships have an important role to play in driving local economic growth and creating a strong environment for business."
The partnerships would provide the vision, knowledge and strategic leadership needed to drive sustainable private sector growth and job creation in their localities.
Mr Pickles said described the three LEPs as vital new additions to a growing network that would help to create a fairer and more balanced economy driven by private sector strength.
"Local enterprise partnerships are bringing about a new local dynamism and a real power shift away from central Government and quangos towards local communities and local businesses who really understand what their economy needs to grow."
The new partnerships were announced as the fourth Regional Growth Fund road show, led by Sir Ian Wrigglesworth, took place at the John Innes Centre in the Norwich Research Park.
The Regional Growth Fund will support projects that can drive sustainable economic growth and create new private sector jobs.
It will focus particularly on helping communities that are currently dependent on the public sector make the transition to private sector-led growth and prosperity.
The first round of bidding for the fund closes on 21 January. All bids received will be assessed by an independent panel chaired by Lord Heseltine, with Sir Ian as his deputy.