Wiltshire Council says that families visiting the play areas are strongly advised to practice social distancing.
The council will also install signage in the play areas featuring rules on how children and their families can use the facilities safely.
Some of the measures include using face masks, however not if the child is under three-years-old, washing hands before and after park visits, that families should try and only have one parent, guardian or carer with each child.
The council also said that people should avoid play areas if anyone in the household is displaying Covid symptoms and that they should consider cleaning equipment before and after use.
Cllr Richard Clewer, cabinet member for communities, said: "Play areas are a great place for children to get much-needed exercise and run off steam, especially during this lockdown period.
“We're glad we can reopen them but it is so important that families follow the guidance to protect themselves and others.
"We can all do our bit by maintaining social distancing, using sanitiser and wipes frequently and disposing of our rubbish or taking it home so these facilities can be enjoyed by all in the safest possible way."