The reports are believed to include people with the virus being spotted outdoors, threats to infect or cough at people and parties being planned on social media.
Some 500 anonymous tip-offs of the most serious possible breaches across the UK have been passed to police, as well as information on pubs and restaurants which are staying open.
Crimestoppers urged people to only report the most serious offences that directly threaten people's health rather than complaints including those about people leaving their home regularly.
It comes after Derbyshire Police Chief Constable Peter Goodman said some calls made to his force to report potential lockdown breaches may have been malicious.
He told MPs: "Just over 11 per cent of our calls to the service from members of the public over the last weekend have been in relation to Covid-19.
"Some of it is about things taking place in public spaces, some of it a bit more about people entertaining at their home addresses.
"We do believe some of that is a little misguided, a little of it may be malicious, getting your own back on your neighbours.
"But the vast majority of it has been about concerned members of the public doing the responsible thing."
Crimestoppers chief executive Mark Hallas said: "As a result of the ongoing coronavirus pandemic, we are experiencing high levels of information through our anonymous online form.
"Please note we can only pass on information about the most serious breaches to the police about offences that directly threaten people's health.
"We want to know about anyone who poses a direct risk to public health, such as an individual who continues to work despite being unwell, or is threatening to infect others with the virus or deliberately coughing over people.
"We will also take information on planned gatherings and those frequenting their second or holiday homes.
"Please do not tell us about those who leave home more times than recommended, or households who are not following social distancing rules in their gardens, or a workplace dispute over what constitutes an 'essential service'."