Haiyat Ali Khan was found to have seven micrograms of delta-9-tetrahydrocannabinol per litre of blood in his system when he was tested at the police station. The limit is two.
The 26-year-old was fined £120, with a £30 victim surcharge and £85 costs.
The defendant, of Thursby Square, Burnley, admitted driving on Briercliffe Road, in the town with a proportion of a controlled drug above the specified limit, on May 1st.
He also pleaded guilty to a separate allegation of driving on Colne Road, Burnley, without due care and attention on January 22nd.