The UK is in a technical recession as GDP has contracted in that country for two straight quarters. Below is a list of dates of recession in the UK since WW2. For comparison there is also a list of dates in the US over the same time period.
Recession in each country hasn't always overlapped. The US went into recession in 1953-54, 1969-70 and 2001 without the UK. The UK was in recession in 1956 while the US was not, but the US was in recession one year later in 1957.