A consultation aimed at cutting the number of plastic items which end up polluting rivers and oceans will start later this year.
Deborah Tomkins from Green Christian told Premier why Christians should pay attention to the debate.
"If we, as Christians who have the full revelation of God in Jesus, can't take a lead in protecting our planet, which has been described as God's love letter to humanity..., then we're not doing a very good job."
Cotton buds are often flushed down the lavatory and are one of the most serious sources of marine pollution.
They are small enough to be eaten by both birds and marine life.
Meanwhile, more than 60 of the UK's biggest music festivals have pledged to ban the use of plastic straws at their events this summer.
The group of independent festivals, including the likes of Bestival, Boomtown Fair and Shambala, have also committed to eliminate all single-use plastic by 2021.
The Prime Minister said plastic waste was "one of the greatest environmental challenges facing the world" and the UK was taking a lead in tackling the problem.
Theresa may May urged Commonwealth leaders gathered in London on Thursday to follow the UK's example in tackling the problem.
She said: "The UK Government is a world leader on this issue and the British public have shown passion and energy embracing our plastic bag charge and microbeads ban, and today we have put forward ambitious plans to further reduce plastic waste from straws, stirrers and cotton buds.
"Alongside our domestic action, this week we are rallying Commonwealth countries to join us in the fight against marine plastics, with £61.4 million funding for global research and to improve waste management in developing countries."
Tomkins told Premier simple ways people can cut down on their use of plastic.
"Plastic is everywhere and its only when you really start looking - as I've been looking in my own family - you suddenly realise... almost everything has some kind of plastic component in it.
"It's a real challenge but we can take things one step at a time, if we're in the habit of buying cotton buds or straws, we can move to paper-based versions."
Listen to Deborah Tomkins speaking with Premier's Eno Adeogun:
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