The Giving Campaign wants its Giving Nation programme, set up last year to to try to make giving a part of young people's culture, to be recognised by all UK schools within five years.
The programme encourages youngsters to give time as a matter of course rather than by just responding to good causes.
It sends a resource pack to schools who request it to facilitate the new 'citizenship' curriculum, which became mandatory last year.
Andy Thornton, campaign manager for young people at Giving Nation, said: "Our ambition is nothing less than making G-week a regular yearly landmark for all schools in the UK.
"We want to help facilitate regular giving, just as others have convinced schools to recycle."