The two teenagers were arrested on suspicion of causing racially aggravated criminal damage and remain in police custody for questioning.
The arrests relate to an incident at the Cenotaph which took place on Tuesday.
Deeply upsetting
Detective chief inspector Stuart Round said: “The Cenotaph means a lot to the community in Rochdale and the recent incidents have been deeply upsetting, particularly at a time when we should be honouring the memory of war veterans.
“I want to assure the public that Greater Manchester Police is taking the incidents very seriously and we have been working with partners to carry out swift arrests. I hope the latest action reassures our communities and sends a message that criminal damage towards war memorials will not be tolerated.
“We are still appealing for information about these events and ask that reports be made by contacting 101 quoting incident 1294 of 07/11/23. Anonymous reports can be made via the independent charity Crimestoppers on 0800 555 111.”
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