The Osmonds canceled their performances after Marie's 18-year-old son Michael committed suicide last Friday.
The younger Osmond reportedly suffered from depression and leaped from the eighth floor of his Los Angeles apartment building. He is to be buried Monday in the Osmond family's native Utah.
People.com said Donny and Marie added several dates to their April schedule to make up for the performances they canceled this week.
"These were previously unscheduled show dates, added to accommodate guests who had tickets to recently canceled shows due to the personal tragedy in the Osmond family," show representatives said in a statement.