Play should not have to be "constructive" and children should enjoy leisure pursuits for their own sake, the National Union of Teachers maintains.
The NUT - responding to proposals from the children and young people's unit - said it welcomes the strategy's commitment to "joined-up" services for youngsters.
But it warns against using "narrow and distorting measures of success", such as exam and test results.
The Government spends pound;40 billion a year on services for children and young people, provided by teachers, childcare workers, social and youth workers. Consultations on the strategy closed today.