A government allocation of £2.1m to flood-ravaged Hull is only "a drop in the ocean," according to the council.
Thousands have been made homeless by the floods
Its leader, Carl Minns, has welcomed the money but has questioned why the city has not received more.
More than 35,000 people in Hull alone were affected by the floods, with thousands facing homelessness for months to come.
The £2.1m, which will be released immediately, is for humanitarian aid and is the largest single allocation.
Mr Minns described Hull as 'the forgotten city' after the floods.
Doncaster Metropolitan District Council receives £1.6m and three other Yorkshire authorities - East Riding, Wakefield and Sheffield - each receive £600,000.
The government has promised a Cabinet inquiry into the causes and aftermath of the flooding nationally.