The supermarket has already removed plastic disposable straws from its own-label range.
The 5p levy on supermarket single-use plastic bags is also to be extended to corner shops.
Iceland has announced its commitment to globally eliminating plastic packaging from its own brand by the end of 2023.
These hugely-encouraging announcements came just a day after i revealed the world's first easy-to-recycle coffee cup and less than a week after Tesco became the first major supermarket to publicly endorse a plastic bottle recycling scheme in the United Kingdom - a scheme campaigners regard as crucial and which the government is now considering. "There is also the economic challenge of ensuring that the new packaging doesn't cost more".
Iceland's pledge will see it replace plastic packaging on around 1,400 own label products with paper-based alternatives. The business insists it is looking at its environmental objectives holistically. "The challenge is to find plant-based materials that don't compromise shelf-life, increase food waste, etc".
A number of retailers have in recent days signalled their support for plastic bottle deposit schemes and other measures for tackling plastic waste, in the wake of the government's announcement last week that it would ban all "avoidable plastic waste" from 2042.
All the paper packaging products will be processed through both local waste collection facilities and in-store recycling schemes.
The retailer believes that by taking this step, it will help cut down the one million tonnes of plastic produced by supermarkets in the United Kingdom annually.
"The tidal wave of plastic pollution will only start to recede when they turn off the tap", said executive director John Sauven.
Iceland insists it is right to focus on waste: "I think it's great that packaging is at the forefront of the agenda today", Mr Schofield concluded.
One million tonnes of plastic is generated by United Kingdom supermarkets every year but experts have warned that the heavier weight of alternative packaging could result in an increase in carbon emissions. "A truckload is entering our oceans every minute, causing untold damage to our marine environment and ultimately humanity". Growth and transportation of produce consumes more energy than the energy necessary to manufacture the packaging protecting it.