Boris Johnson said all non-essential retailers, which includes betting shops, can reopen on the scheduled date, providing continued progress in limiting the spread of the coronavirus.
With Northern Ireland, Wales and Scotland providing their own lockdown easing measures, the reopening of betting shops from mid-June only applies to England.
Shops will be required to open with social distancing measures in place and, where applicable, frequent hand washing and surface cleaning, limited activity time, screens to separate people and operating at a limited capacity.
The reopening will coincide with Royal Ascot, which is set to feature 36 races from 16-20 June.
It is thought betting shops will open gradually, with William Hill saying earlier this month it is planning a "staged opening" of its retail estate in the second half of the year.
As of 26 May, there have been just under 37,000 COVID-19-related deaths reported in the UK.