A petition was handed into the Welsh Government calling for a tax to be introduced on single use cups.
Almost all disposable coffee cups are incinerated, exported or sent to landfill because their plastic lining makes them costly to recycle.
The campaign group Friends of the Earth Cymru says a 25p tax on each cup could reduce the numbers used by around 30% and generate almost £100m a year.
The cash could then potentially be used to tackle waste problems in Wales and create jobs.
The Welsh Government introduced the carrier bag charge in 2011 which has helped to reduce the number of plastic bags being used. The group hope that the latte levy will do the same and encourage people to bring their own refillable cups and flasks.