In the year to the end of March, off-trade sales were ahead by 7% to 36,300 barrels against an increase in total beer volume sales for the group of just 1%.
The off-trade now accounts for more than 10% of the company's beer volumes.
Chairman Michael Turner said: "London Pride continues to lead the premium ale market and has again grown market share in all sectors."
Operating profit in the Fuller's Beer Co rose 1% to £8 million. Group pre-tax profit was up 4% at £23 million.