Wasps, under the captaincy of former Welsh skipper Rob Howley, scored four tries to one, with all but three of their points coming before the final quarter.
Rotherham, on the other hand, managed both of their tries in the final 10 minutes of the match, with replacement hooker Andy Long getting over in the 70th minute and tighthead prop Colin Noon scoring in the 77th minute. Jonathan Benson converted both scores.
London Wasps' tries were scored by loosehead prop Tim Payne, who was in for injured All Black veteran Craig Dowd, while Peter Richards – in for the injured Alex King at No.10 – claimed a brace of tries.
Richards' first try came shortly after the half-time break, with skipper Howley dotting down in the 50th minute, before Richards secured the bonus point with his effort in the 56th minute.
Centre Fraser Waters, who was partnered by the exciting talent Ayoola Erinle, slotted two conversions from four attempts, having been given the kicking duties in King's absence, and replacement halfback Harvey Biljon added a penalty goal in the 80th minute after Rotherham's two tries.
Wasps coach Warren Gatland would have been elated with this win, especially in the absence of all his England stars and injured players Dowd, King and Mark van Gisbergen.
Rotherham, however, remain winless in the 2003/04 Zurich Premiership. They have managed just two points in 16 outings this season (they achieved their second in this game for losing by seven points or less), while Wasps edged closer to Premiership pace-setters Bath with their 12th win of the season.
For Rotherham Titans:Try: Long, NoonCons: Benson 2Pens: Benson
For London Wasps:Tries: Payne, Richards 2, HowleyCons: Waters 2Pen: Biljon