Anirudh has recently launched a movement against what he alleged corruption in recruitment process for government jobs in Haryana.
He and several other youths were taken into custody when they tried to stage a sit-in D-Park near the CM's residence, officials said.
Section 144 has been imposed in the area banning assembly of five or more persons as a precautionary measure.
Police whisked away some of the protesters in vehicles, the officials said.
"The interview raj is resulting in corrupt practices on a large-scale," he said.