The Town have already won the award this season, after they put eight past Yeovil Town on the opening day of the Sky Bet League Two season.
The League Managers Association's five-man panel, comprising LMA Chairman Howard Wilkinson, Sir Alex Ferguson, Joe Royle, Dave Bassett and Barry Fry couldn't decide between either win against Boro or the Grecians, so the award was given for both.
The experienced and highly distinguished panel has managed a combined total of over 6,000 competitive matches in professional football.
The gaffer received a celebratory bottle of champagne, courtesy of Tanners Wines, and an LG Performance of the Week trophy in a presentation to commemorate the result.
Jones spoke to Sky Sports earlier on today, that will be broadcast on their Gillette Soccer Saturday show tomorrow.