Gardener's World presenter Joe Swift said: "The Dig In campaign is about getting more people into grow-your-own. From salads, tomatoes...everyone grows something edible. It's on Gardener's World and other programmes. It's a cross-platform campaign which will be on the web and cooking programmes as well.
The BBC Learning campaign will include a national tour.
BBC Dig In project executive Nina Bell said: "Quite simply we want to enthuse and help first-timers to grow their own grub anywhere. We'd love to see whole families coming together to get their hands dirty and start turning their fingers green.
"We want to show everyone that you don't need a huge garden to grow your own veg - a window sill, tiny terrace or your doorstep can be enough space to get growing. And, in these times of credit crunch, this is a great opportunity to try your hand at a fun activity which is both self-sustaining and affordable.
"But above all, it's a great way for whole families to spend time together, outside, as the Spring weather comes. Children love to get their hands grubby in the garden, so everyone can join the fun and, best of all, you get to eat the results."
Launching on Gardeners' World and the Green Balloon Club in April, the Dig In campaign will get growers off the ground with free seed packs available from 10 April through www.bbc.co.uk/digin.
The starter packs will contain five varieties of plant suitable for a range of growing locations, soils and climates including Gardener's Delight tomatoes, Lolla Rossa or Red Salad Bowl lettuce, Boltardy beetroot, Harrier or Hunter butternut squash and Early Nantes carrots.
Gardeners' World will feature weekly updates from its Dig In garden with Toby Buckland offering advice and tips to growers. The Gardeners' World team will also be encouraging everyone to take part in the Dig In Grow Bag Challenge - using the seed starter packs and a grow bag to cultivate their own crops.
The CBeebies team and the Green Balloon Club will be encouraging their younger viewers to get planting too.
Later in the year, at harvest time, the campaign will switch from plot to cooking pot with tasty recipes for the produce available on the Dig In website and recipes from chefs including Nigel Slater.
Seed starter packs will be available on the website, bbc.co.uk/digin from 10 April and locations for the Dig In tour will be confirmed later.