The Home Office is being asked to help pay for a massive police operation at RAF Fairford on Saturday.
Around 1,000 officers from 18 forces around Britain lined the route taken by the peace march.
Gloucestershire police said the cost of the operation would run into hundreds of thousands of pounds. They would be seeking financial help from the Home Office, they said.
More than 2,000 people were involved in the peaceful protest which saw scores of police in full riot gear.
Around 2,000 protesters gathered outside the base where 14 US air force B-52 bombers are positioned, six were arrested.
Campaigners were asked to bring wreaths to lay at the base for "the death of our democracy and for all the victims of the biggest preventable tragedy in history".
A Gloucestershire police spokesman said they had expected between 3,000 and 5,000 people to attend the protest.
It was the largest operation the force had ever mounted, he said.
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