Carillion went into liquidation last month after the contractor failed to secure a rescue deal in talks with lenders and the government.
Murphy will also become the new joint venture partner of Swedish infrastructure services provider, Eltel, on overhead line and T-Pylon framework contracts
Carillion’s employees will join Murphy as part of the deal.
Financing details not disclosed
The amount Murphy is paying for the business was not disclosed.
The UK’s Official Receiver, which manages insolvencies for the British government, has been seeking alternative contractors to complete the tasks under the contracts Carillion held and has made 829 staff redundant so far.
On Monday, Carillion sold some of its Canadian assets to insurer Fairfax Holdings Ltd for an undisclosed amount.