Muradova is one of four people arrested in the Turkmen capital in the past few days.
The other three are two activists of the Bulgarian-based Turkmen Helsinki Foundation (THF) -- Annakurban Amanklychev and Yelena Ovezova -- and Sapardurdy Khajiev, a relative of the group's chairwoman, Tajigul Begmedova.
Begmedova told RFE/RL that police officers produced no warrants when they proceeded to the arrests.
She also identified Khajiev as her brother-in-law, a man she says is "neither a rights activist, nor a journalist."
Begmedova also said police took away Muradova's three adult children on June 19.