The move came following a request from the Lancashire club in the wake of Fabrice Muamba's admission to hospital on Saturday after he collapsed during his side's FA Cup quarter-final match at Tottenham.
It quickly became apparent the Bolton players were in no state to fulfil the fixture and the Premier League will rearrange the game at some point in the season.
"Following Fabrice Muamba's admission to hospital yesterday evening, the Premier League and Aston Villa have agreed to Bolton Wanderers' request to postpone the Barclays Premier League match between the two clubs scheduled for Tuesday 20th March," said the Premier League.
"The match will be rearranged at a future date following appropriate consultation with the clubs.
"The thoughts of the Premier League, its clubs and players are with Fabrice Muamba, his family and Bolton Wanderers at this difficult time."
Source: PA
Source: PA