They were disrupted while an attempt was made at a "close access hack operation" at around 4.30pm on Friday.
They said the Russian military intelligence service could have only been conducting operations of such scale on Kremlin orders.
In a statement, it said: "As is traditional, it is not backed by any proof and is another element in an anti-Russian campaign being conducted by the British government".
Russian Federation denied what its Foreign Ministry spokeswoman called a "diabolical perfume cocktail" of allegations by someone with a "rich imagination".
The four men flew from Moscow to Amsterdam on April 10 on official passports, where they were met by a Russian embassy official.
The headquarters of the Organisation for the Prohibition of Chemical Weapons, OPCW at The Hague in The Netherlands.
Authorities also released photos on Thursday showing the auto the group of men used with a wifi antenna and technical equipment in the trunk of a vehicle, thought to be used to hack the network.
The OPCW, in turn, was investigating the poisoning of GRU defector Sergei Skripal in which the nerve agent Novichok was used, a bold operation that British authorities dissected in a minute-by-minute surveillance camera montage last month.
When the men were intercepted they tried to destroy one of the mobile phones they were carrying. Another reason for caution is accusing a country of a cyber attack usually means providing some sort of evidence, which can give away sources or technical details of the accusers' own spying capabilities.
He said the agents had planned to target an OPCW in laboratory in Switzerland too.
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Dutch authorities escorted four Russian intelligence officers out of the country hours after the auto they had rented was found parked near the OPCW's building in The Hague, its trunk full of gear for hacking WiFi networks.
Speaking about Russia's hacking attempts into the MH17 crash investigation, she said: "We have been aware of the interest of Russian intelligence services in this investigation and have taken appropriate measures".
The two leaders said Thursday they will "defend worldwide institutions from those that seek do to them harm".
In a news conference in The Hague, Dutch Defence Minister Ank Bijleveld called on Russian Federation to cease its cyber activities that aim at "undermining" Western democracies. Russian Federation says the two men Britain blames for the attack were tourists who twice visited Skripal's home town for sightseeing during a weekend trip to England, a story Britain says is so far-fetched as to prove Moscow's culpability.
As the Prime Minister said in Parliament on 5 September 2018, the United Kingdom will work with our allies to shine a light on the activities of the GRU and expose their methods.
The US government has announced criminal charges against seven Russian intelligence officers.
In 2016, the Russian military intelligence service officers (GRU) are accused of hacking the Canada-based World Anti-Doping Agency (WADA) and releasing confidential athlete data; as well as compromising the Canadian Centre for Ethics in Sport with malware. The move is part of a government campaign to expose the actions of the organisation which is also suspected of being behind the Salisbury poisonings.
Russian Federation has consistently denied any involvement in the Skripal chemical attack and the shooting down of MH17.
Defense Secretary Gavin Williamson said Thursday that "where Russian Federation acts in an indiscriminate and reckless way, where they have done in terms of these cyberattacks, we will be exposing them".
"This pattern of behaviour demonstrates their desire to operate without regard to global law or established norms and to do so with a feeling of impunity and without consequences", Hunt said in a statement.