The arrests come a day after Police took into custody BJP MLA Suresh Rana in Lucknow on charges of making provocative speech to incite riots in Muzaffarnagar.
Rana was today remanded to 14 days judicial custody by a local court in Muzaffarnagar, which also rejected his interim bail plea.
The district administration and police have informed Vidhan Sabha speaker about the arrest of these three MLAs, officials said.
SSP Deepak Kumar said that Som was arrested from Salava village in his constituency Sardhana, amid slogan-shouting by his supporters.
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Though police said they had arrested Som, his supporters claimed the MLA had surrendered.
Som is accused of uploading a fake video that allegedly played a role in provoking communal tension in the town, besides making inflammatory speeches.
"I will abide by the law in spite of the fact that this is a false case against me. I will respond in court. They (SP, BSP) have instigated the riots....We (BJP MLAs) are being made soft targets," Som said.
His bail application in this case will come up for hearing on Monday.