Foreign Secretary Boris Johnson to visit Russia
His meetings will focus on the relationship between the UK and Russia, as well as issues involving Syria and Ukraine "where we continue to have significant differences", it said.
The Foreign Office said the UK "will engage with Russia where it is in our national interest to do so".
The timings and details of the visit will be released "in due course".
A spokeswoman said: "The foreign secretary has accepted an invitation from Russian foreign minister Sergey Lavrov to visit Moscow in the coming weeks.
"The prime minister and the foreign secretary have made clear that our policy towards Russia is to 'engage but beware' and the visit is entirely consistent with this approach.
"This is not a return to business as usual and the foreign secretary will continue to be robust on those issues where we differ."
A Foreign Office source insisted that the visit did not signal any shift in UK policy towards Russia.
"He is not going in order to reset the relationship. He has been clear in his calls with Lavrov that this can't happen till they change course on issues such as Ukraine.
"He intends to say the same things face to face as we do in public and in Parliament about Russian activities. While it may be a tough visit, that is what needs to be done."
The source added: "Boris has always said we must engage when in our interests. He calls it 'guarded engagement'. He will be robust in the meetings and defend our position. This is not about cosying up, in fact quite the opposite."
Source: bbc.com