The visit by Hassan Habibollah-Zadeh follows a trip to Tehran last week by his British counterpart Ajay Sharma.
Sharma's visit was the first time a British diplomat has gone to Iran since Islamist students ransacked the British embassy two years ago, pushing relations into deep freeze.
A Foreign Office spokeswoman told AFP that Habibollah-Zadeh would spend Thursday and Friday in Britain.
"He will meet UK officials at the Foreign Office on Friday 13, including the UK non-resident charge d'affaires Ajay Sharma," the spokeswoman said.
But relations have improved since moderate cleric Hassan Rouhani became Iran's new president in August.
The two countries each named a non-resident charge d'affaires -- a diplomatic post that is one level below ambassador -- last month.