He announced a five-pillar strategy to combat the spread of the virus in the country.
Mr Hancock also said work had started to build a “large diagnostics industry” in Britain.
The number of people with the virus who have died in the UK has risen by 569.
As of 17:00 BST on Wednesday, the overall number of deaths with the virus in the UK was 2,921.
Speaking at the end of his seven days of quarantine after testing positive for the virus, Mr Hancock said: “I’m now setting the goal of 100,000 tests per day by the end of this month.
“That is the goal and I’m determined we’ll get there.”
The 100,000 target encompasses a variety of tests – including the swab tests currently being used to test if people already have the virus, as well as the antibody blood test which, although not developed yet, can test if somebody has had the virus.
Mr Hancock said the government is working with nine companies who have offered these tests – but “they’ve got to work” and the government will not allow them to be rolled out if they are not effective.