Firefighters were called out to Watson Court, Bradgate, Rotherham, after three wheelie bins were found burning.
The blaze at 12.30am on Tuesday was recorded as an arson attack.
A wheelie bin went up in flames on White House Lane, Walkley, Sheffield, at 11.30pm the same night.
That fire was logged as accidental.
A pile of rubbish was set alight on Upper Wortley Road, Scholes, Rotherham, at 11.50pm on Monday.