The week is a part of the BBC Breathing Spaces campaign and runs from Saturday, July 25, to Sunday, August 2.
It aims to encourage little ones back into the wild and fill their imaginations with the wonders of the wilderness.
The week kick starts with tortoise stories and activities at Coningsby and Tattershall Library.
Children aged between three and seven-years-old can take part in tortoise related activities as well as meeting Sally the 110-year-old tortoise.
The event runs from 2.15pm–3.15pm on Tuesday, July 28, and will also take place at Woodhall Spa Library from 2.30pm-3.30pm on Friday, July 31.
Another exciting event will be taking place at Horncastle Library on Wednesday, July 29.
Children aged between three and seven will have the chance to take part in hedgehog-themed crafts and meet a real hedgehog from Hedgehog Cares, Lincolnshire's most famous hedgehog sanctuary.
Other events are being held in Spalding, Stamford, Boston, Long Sutton and Grantham.
l Details: www.bbc.co.uk/ breathingplaces/greenballoonclub