The book, with photographs by Jonathan Buckley, is out on 1 April priced £20.
But Klein's BBC2 series on producing plants from seeds and cuttings, filmed at her Devon garden and nursery, will not be broadcast until 2011, though she will be back on Gardeners' World in March.
The 2011 series is likely to be titled a A Year at Glebe Cottage and there will be another BBC book to go with it. The book is "a mission to share her joy in working with nature to cultivate the plants she loves", said the BBC.
It added: "Too often gardeners are intimidated by propagation, feeling it should be left to the experts, and settle for expensive ready-grown plants from the garden centre instead.
"But Carol, well-known for her infectious enthusiasm, boundless horticultural expertise and easy practical explanations, shows just how simple and satisfying it is to grow your own plants, not to mention sustainable and cheap.
"She demonstrates, step-by-step, how to divide herbaceous perennials, nurture seedlings or grow new stock from root cuttings, stems or leaves, showing how there is no mystique involved and that anybody can do it.
"In Grow Your Own Garden Carol takes you on a wonderful journey with her as she gives new life to her best-loved plants and watches her garden bloom.
"Just as she did with Grow Your Own Veg, she brings her own unique style to an inspirational, accessible and practical guide that will have great appeal to novices and more experienced gardeners alike."
Grow Your Own Garden will be followed in 2011 with A Year at Glebe Cottage, which will be about Klein's experiences in her own garden. Both books will focus on propagation.
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