Blackburn with Darwen tops the list as the rate has risen from 83.3 cases per 100,000 people in the seven days to July 20 to 89.3 in the seven days to July 27. A total of 133 new cases have been recorded.
Other parts of east Lancashire are also affected including Burnley, Hyndburn, Pendle (which includes the towns of Colne and Nelson) and Rossendale.
Leicester is in second place, where the seven-day rate has fallen from 67.8 to 60.2, with 214 new cases.
Oldham in Greater Manchester has seen its seven-day rate increase from 23.3 to 54.3, with 128 new cases, while in Pendle, Lancashire the rate went from 27.4 to 42.7, with 39 new cases.
In Trafford, Greater Manchester the seven-day rate is up from 15.2 to 41.0, with 97 new cases and in Calderdale, West Yorkshire - which includes the town of Halifax, the rate is up from 20.9 to 33.8, with 71 new cases.
The new restrictions apply to the whole of Greater Manchester, which includes the 10 local authority areas of Bolton, Bury, Manchester, Oldham, Rochdale, Salford, Stockport, Tameside, Trafford and Wigan.
Parts of West Yorkshire including Bradford, Calderdale (which includes the town of Halifax) and Kirklees (which includes the town of Huddersfield) are also impacted.