The Argentine could be set for further punishment from authorities after being banned from driving in January.
The 29-year-old Tevez, who was banned from driving in January, was taken to Macclesfield police station on Thursday evening and has since been released on bail. Tevez faces a possible prison sentence if charged and found guilty of the offense.
A statement from Cheshire police said: "At 5:13 p.m. on Thursday 7 March police arrested a 29-year-old man from Alderley Edge on the A538 in Macclesfield on suspicion of driving while disqualified. He has since been released on police bail."
The Argentine was banned from driving for six months after pleading guilty to failing to supply police with requested information. He was also fined a total of £1,540 after the court heard he did not answer letters from Lancashire and Cheshire constabularies asking for information on who was driving his car when it was caught speeding.