Faith, aged 14, was last seen yesterday (Tuesday February 21) at 10pm at a property in Brimscombe, Stroud.
There are concerns for her welfare.
She is thought to also have links with Stroud and Stonehouse.
The teenager is described a being white, 5ft 7ins tall, of a slim build and has bright pink hair.
When last seen Faith was wearing grey pyjama bottoms and a grey and white dressing gown.
Anyone with information on Faith’s whereabouts is asked to call 101 quoting incident 9 of 22 February.
Please dial 999 if you are with Faith at the time of calling.
You can also give information through the Missing People charity on 116 000 or you can find out more information through the charity’s website www.missingpeople.org.uk.