The development marks a major milestone as it completes the nation’s original target for the training programme.
The MoD has also revealed plans to expand the original target by training another 300 UAF personnel, extending the programme by another year.
The soldiers are being trained to identify mines and improvised explosive device (IED) logistics, urban defensive operations, and operational planning.
UK Defence Secretary Michael Fallon said: "This underlines the UK’s commitment to the sovereignty, independence and territorial integrity of Ukraine and our other Eastern European partners.
"It sends another clear message that we stand firm with Ukraine in the face of aggression."
Britain has already stepped up the training programme in Ukraine to include additional infantry, medical and survival skills, as well as increased the number of Ukrainian soldiers being trained.
Since March 2015, 16 UK teams have trained members of the UAF at ten training sites across the country.
The training is being provided on behalf of the Ukrainian Government to help boost the capability of their armed forces to fightrebels in the country.
Image: The UK has trained 2,000 members of the Ukrainian Armed Forces. Photo: Courtesy of UK Government