The NCA worked with forces across Europe on the UK's "biggest and most significant" law enforcement operation.
Major crime figures were among over 800 Europe-wide arrests after messages on were intercepted and decoded.
More than two of drugs, several dozen guns and £54m in suspect cash have been seized, says the NCA.
While the NCA was part of the investigation, it was initiated and led by French and Dutch police, and also involved Europol - the EU agency for law enforcement cooperation.
Wil van Gemert, deputy executive director of Europol, told a press conference in the Hague that the hacking of the network had allowed the "disruption of criminal activities including violent attacks, corruption, attempted murders and large-scale drug transports".
The NCA says the Europe-wide operation, which lasted over three months and involved police forces across the UK, has had the biggest impact on crime gangs it has ever seen, with 746 UK arrests, including two law enforcement officers