The offences were primarily for breach of the peace and acts of anti-social behaviour.
Police say the arrests were made on Saturday, July 1 as thousands marched through the city streets.
Chief Superintendent Stevie Dolan said: "Officers in Glasgow made a total four arrests and issued two fixed penalty notices during the Orange Order processions on Saturday, July 1, 2023.Sign up for Glasgow Live newsletters We send a range of newsletters each day on the latest news, up to the minute stories and information on coronavirus, as well as the latest foodie news.
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