What is the synonym for creek mean?

There isn't one single perfect synonym for "creek" as its meaning can vary depending on context. Here are some options, categorized by the specific meaning you're looking for:

Small stream:

* Brook

* Rivulet

* Run

* Streamlet

Narrow inlet of the sea:

* Inlet

* Cove

* Bayou (specifically for inlets in the southeastern US)

Informal, general term:

* Stream

* Watercourse

* Gulch (more rugged, often with steep sides)

The best synonym will depend on the specific situation and what you want to emphasize.