Residents have revealed they are furious that the city, in the East Midlands, will not open up as planned this coming Saturday (July 4).
They are blaming "Covidiots" who flouted lockdown and didn't stick to social distancing, hence the spike in infections in the area.
Leicestershire Police will enforce the new lockdown, which will be in place until at least July 18.
Hancock told BBC Breakfast: "It's so important that we get a grip on this spike that has happened in Leicester."
Read more: SAGE warns of second wave in October
However, Leicester isn't the only place in England where cases of coronavirus are on the rise.
There are currently 36 authorities that have seen a spike in infections in the past two weeks.
And 26 of those have higher week-on-week rises than Leicester.
Experts have warned that other major cities, including Birmingham and Manchester, could face the same fate within the next six months.
It's thought future outbreaks are inevitable.
Places under threat
So is your city or town in danger?
Data gathered by Public Health England shows Havering in East London and Wiltshire have seen the biggest week-on-week increases in confirmed COVID-19 infections.
Wandsworth, Gloucestershire and Doncaster complete the top five.
Ealing, Hammersmith and Fulham, Plymouth, Westminster and Barking and Dagenham have also seen a rise in the number of cases.
Westminster, for example, has seen a 133% week-on-week rise in cases.
Between June 13 and 19 there were just six new cases in the borough.
The following week, 14 new cases were confirmed.
Further down the list, other places at risk of local lockdown include Haringey, Milton Keynes, Wakefield, Walsall, Brent, Medway, Hounslow and Harrow.
It's so important that we get a grip on this spike that has happened in Leicester.
Kensington and Chelsea, Slough, Suffolk, Tower Hamlets, Enfield, Redbridge, Sandwell and Derbyshire are also above Leicester on the list.
Gateshead, Isle of Wight, Portsmouth, Redcar and Celeveland, Richmond Upon Thames, Sunderland, wigan, Windsor and Maidenhead and York complete the list.
In York, there were no cases reported in the week of June 13 to 19.
The following week one new case was reported, taking the total to 453.
Officials will now monitor specific areas and will tackle hot zones by introducing local lockdowns where restrictions will be reimposed.
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