They said Hancock was parked outside a grocery store before driving off and was pulled over by a police officer.
Hancock showed signs of alcohol consumption and failed several sobriety tests, according to police.
They said breath tests showed Hancock initially had a blood-alcohol concentration of 0.158% with later tests at 0.219% and 0.214% —all far above Arizona’s DUI threshold of 0.08% for drivers.
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A Yavapai County judge was arrested last weekend on suspicion of an extreme DUI.
State law defines extreme DUI for drivers who have a blood-alcohol content of 0.15% or higher.
Police said Hancock was cited and later released. She has been licensed to practice law in Arizona since 1996 and was first elected to the Yavapai County bench in 2010.
A call to Hancock’s office Tuesday seeking comment on her arrest was redirected to court officials.
"The court has a duty to obtain as much information as possible about any criminal allegations related to its personnel," Deputy Court Administrator Julie Malinowski said in a statement. "This process is no different for judges. We have begun gathering information."