Hull midfielder Stephen Hunt scored twice in the last 19 minutes as Bolton's defensive deficiencies allowed the Tigers to snatch a point in a 2-2 draw at the Reebok Stadium.
Wanderers looked comfortable after Ivan Klasnic's 20th-minute goal and Kevin Davies' second-half header.
However, Hunt nodded in from close range to spread panic in a defence without a clean sheet all season and the Republic of Ireland international's cross-shot produced the equaliser 12 minutes from time.
Although Bolton have now taken six points from their last four matches the fans called for Megson to be sacked.