The deal is for undersea AC cabling for the project, which will be spread over a 142 square-kilometre area off the Norfolk coast. The turbines are located in 18-25 metres of water.
ABB said it is supplying two 132-kilovolt (kV) three-core AC submarine cables, each 42 kilometres long. They will come ashore at Weybourne Hope to be connected to a purpose-built substation at nearby Necton.
Bjørn Ivar Bergemo, asset manager for Dudgeon, said the cables were the longest to be ordered for a UK offshore wind farm.
Last month the project's developers, Norwegian power companies Statoil and Statkraft, handed Siemens the contract to supply, assemble, commission and service 67 of its 6MW turbines. Engineering work on the project started last month.
In July, UK sea bed manager the Crown Estate has announced the number of turbines at the Dudgeon wind farm will be cut from 178 to a maximum of 78.
As a result, the project's site was expanded by 19 square kilometres to allow greater flexibility in the siting of the turbines. A spokesman for the Crown Estate said: "The Dudgeon site consists of mobile sand waves and chalk seabed, both of which create engineering challenges in securing the turbine foundations.