* Brown hopes reshuffle will shore up power

* Poor European election results expected

* Rebels could still try to oust Brown

* 46 percent of Labour activists back Brown - poll

(Adds details, including Labour meeting on Monday)

By Avril Ormsby

LONDON, June 6 (Reuters) - British Prime Minister Gordon Brown, battling to avert the collapse of his government, said on Saturday he would stick to his policies, as his Labour Party faced a European election drubbing.

A day after reshuffling his cabinet to try to secure the loyalty of ministers after several walked out of his government, Brown said he would focus on tackling the recession, cleaning up politics after a parliamentary expenses scandal and reform of public services.

"I think it is important to recognise that in these unprecedented times you are bound to have up and downs in politics," he told reporters after attending a cathedral service in France to mark the 65th anniversary of the D-Day landings.