A strong second-half display earned Leeds their third successive pre-season win.
The Rhinos, fielding 10 of their first-team squad, went ahead with a 19th-minute try from Jordan Tansey.
National League Two club Featherstone levelled seven minutes before half-time when Dale Cardoza forced his way over for a try which Stuart Dickens converted while Leeds were down to 11 men with Lee Smith and Clinton Toopi in the sin bin.
The Super League club made their class tell in the second half, adding tries from Jason Hart, Michael Ratu, Michael Brown and Kyle Briggs. Tansey landed five goals from five attempts.
Featherstone's only further points came from a 68th-minute try by Gareth Handford.