Spalding police followed a Transit van when a driver sped away from them and saw him throw herbal cannabis out of the window.
Sam Tooke (22) was in London Road at 9pm on October 29.
Jim Clare, prosecuting, said Tooke was interviewed and replied “no comment”.
Solicitor Rachel Stevens, mitigating, said the amount was consistent with personal use and Tooke had no previous convictions, cautions or warnings for drug matters.
Tooke, of Hobhole Bank, Freiston Ings, near Boston, was fined £37 and ordered to pay £85 costs and a £20 victim surcharge when he admitted possessing the class B controlled drug.
• The prosecution withdrew an identical charge against Jolene O’Dix (19), of the same address.