Tommy Rowe, Craig Mackail-Smith and Grant McCann all scored goals for the Posh in the second half.
Ferguson told Sky Sports, when asked if this was his best moment in football: “Easily. Absolutely fantastic day.
“I’m so proud of them. To win 3-0 in a final is a great result.
“The one thing we showed today is we dug in when we were under pressure. That’s been the key.
“Keeping clean sheets, digging in, showing composure.”