But Robertson's side are now in fifth place in Division Two.
"The chairman and the club are delighted to announce that John Robertson will remain at Bayview as manager next season," said a statement.
Under Crawford, the Fifers had won only two of their 10 league fixtures, losing five.
Following Robertson's appointment, the Methil side have won seven out of their next 17 and lost six.
The former Inverness Caledonian Thistle, Hearts, Ross County, Livingston and Derry City boss still faces an uphill struggle to claim a promotion play-off place.
Robertson's side are four points adrift of fourth-top Forfar Athletic, who have two games in hand.
Source: BBC Sport
Source: BBC Sport