More than 90% of respondents wanted some action taken to curb plastic bag use.
Some 58% called for an outright ban on throwaway shopping bags, while 34% favoured a levy. Only 7.5% wanted to maintain the status quo.
Of those calling for an outright ban, a “sizeable proportion” said they would be happy with a levy as a compromise option.
Council leaders will now weigh up the options before deciding whether to put a proposal forward to Parliament as part of the tenth London Local Authorities Bill.