Coun Leyland says it was ‘very obvious’ that people are breaching the regulations by visiting attractions in the district.
His warning comes after East Lindsey was ranked in the top 10 nationally for areas with the largest rise in the increase of Covid-19 cases.
According to statistics, East Lindsey is ranked seventh after the number of cases rose from 43 per 100,000 people to 71.3.
Although the overall rate in East Lindsey is still low, there is understandable concern about the figures.
In a statement posted on his Twitter account last week, Coun Leyland said: “It is very obvious that people are breaking the lockdown rules to enjoy the weather and visit our attractions.
“Each easing of lockdown is dependent on a phased approach.
“Days matter as the vaccine is rolled out ...our efforts could be wasted by impatience. #Hands Face Space.”
The national list is led by Hull which has seen the number of cases per 100,00 increase from 149.5 to 159.8.
Burnley, Worthing and North Lincolnshire make up the top four with Epping Forest, Wokingham and South Cambridgeshire trailing immediately behind East Lindsey.
There are reports coastal resorts and the Wolds were much busier last weekend - including Coun Leyland’s own ward of Woodhall Spa.
Councillors and health bosses are determined to halt the increase - particularly ahead of the Easter holidays.
The Government advice is that people should not leave, or be outside of their home, except where necessary.
They say exercise should be taken as close to your home as possible with travelling kept to an absolute minimum.