A handful of people were fined £80 for public order offences by Thames Valley Police (TVP) and British Transport Police (BTP) dealt with three people on the train network.
Superintendent Andy Standen, commander of the policing operation at Royal Ascot, said: "I am pleased that so far we have not had cause to arrest anybody for any serious offences and that people appear to be listening to our advice to drink sensibly and enjoy the event."
Two men, aged 38 and 47 were reported for summons for ticket touting and a 26-year-old man was fined for trespassing on the railway.
Updates following the opening day of Royal Ascot reveal that BTP cautioned a 17-year-old boy for possession of cannabis, a 33-year-old man received a fixed penalty notice for a public order offence and a 20-year-old man was arrested on suspicion of being drunk and disorderly and later fined.
This brings the total arrests so far to three after TVP arrested two men aged 22 and 55 from Surrey on suspicion of committing public order offences in connection with the same incident. The were later de-arrested and issued with £80 fines.