Referee Dougie McDonald was correct to rescind a penalty awarded to Celtic during their 2-1 victory over Dundee United, an investigation has concluded.
But the Scottish Football Association says that McDonald has accepted responsibility for failings in the "post-match administrative process".
The failings in the administrative process have not been detailed.
McDonald's decision angered Celtic, while Dundee United were also critical of the referee's general performance.
And it led to assistant referee Steven Craven resigning earlier this week.
SFA chief executive Regan said: "Following Steven Craven's resignation and the circumstances surrounding the overturning of the penalty decision in the match, it was important to thoroughly investigate the matter.
"I am satisfied with the outcome of today's meeting and the clarity of the findings."
Regan had spoken to the match referee, Dougie McDonald, his assistant, Steven Craven, Hugh Dallas, the head of referee development, and Jim McBurney, the referee observer as part of the investigation.
"The committee reached a unanimous view that the overturning of the original decision was correct," said the SFA in a statement.
"The match referee, Dougie McDonald, was present at today's meeting and admitted that, after having blown for an infringement, he immediately realised that he may have made an error.
"As is appropriate in these circumstances, Dougie, unprompted, decided to approach the assistant referee, Steven Craven, who had assumed the required position for the taking of the penalty.
"Dougie then asked Steven if he had seen the Dundee United goalkeeper, Dusan Pernis, touch the ball first and Steven confirmed that, in his opinion, the goalkeeper had.
"Dougie then communicated to the players that he had made a mistake and restarted the game with a drop-ball, as per the Laws of the Game."
However, the report stresses that McDonald had been warned over his subsequent handling of the game.
"In addition, the investigation identified that the post-match administrative process was not completed to the expected standard," says the SFA.
"The committee agreed with this point and Dougie has accepted his responsibility in this regard.
"It should also be noted that, while Dougie ultimately arrived at the correct decision during the match, he was marked down for the error in awarding a penalty in the first instance in the observer's report."
Celtic have also written to the SFA seeking clarification over referee Willie Collum's decision to award Rangers a penalty against Celtic in Sunday's Old Firm match, which Rangers won 3-1.
The furore caused by those decisions has led to much debate about refereeing in Scotland, with Collum revealing that he had received phone threats at his home.
Scottish Senior Football Referees' Association chairman Martin Cryans added: "The pressure placed on referees has intensified in this country in recent years and the last few weeks have highlighted the immense strain placed on our top officials and their families.
"The aim now for the SSFRA is to work, in tandem with Stewart Regan, to help develop a respect initiative."
But the Scottish Football Association says that McDonald has accepted responsibility for failings in the "post-match administrative process".
The failings in the administrative process have not been detailed.
McDonald's decision angered Celtic, while Dundee United were also critical of the referee's general performance.
And it led to assistant referee Steven Craven resigning earlier this week.
SFA chief executive Regan said: "Following Steven Craven's resignation and the circumstances surrounding the overturning of the penalty decision in the match, it was important to thoroughly investigate the matter.
"I am satisfied with the outcome of today's meeting and the clarity of the findings."
Regan had spoken to the match referee, Dougie McDonald, his assistant, Steven Craven, Hugh Dallas, the head of referee development, and Jim McBurney, the referee observer as part of the investigation.
"The committee reached a unanimous view that the overturning of the original decision was correct," said the SFA in a statement.
"The match referee, Dougie McDonald, was present at today's meeting and admitted that, after having blown for an infringement, he immediately realised that he may have made an error.
"As is appropriate in these circumstances, Dougie, unprompted, decided to approach the assistant referee, Steven Craven, who had assumed the required position for the taking of the penalty.
"Dougie then asked Steven if he had seen the Dundee United goalkeeper, Dusan Pernis, touch the ball first and Steven confirmed that, in his opinion, the goalkeeper had.
"Dougie then communicated to the players that he had made a mistake and restarted the game with a drop-ball, as per the Laws of the Game."
However, the report stresses that McDonald had been warned over his subsequent handling of the game.
"In addition, the investigation identified that the post-match administrative process was not completed to the expected standard," says the SFA.
"The committee agreed with this point and Dougie has accepted his responsibility in this regard.
"It should also be noted that, while Dougie ultimately arrived at the correct decision during the match, he was marked down for the error in awarding a penalty in the first instance in the observer's report."
Celtic have also written to the SFA seeking clarification over referee Willie Collum's decision to award Rangers a penalty against Celtic in Sunday's Old Firm match, which Rangers won 3-1.
The furore caused by those decisions has led to much debate about refereeing in Scotland, with Collum revealing that he had received phone threats at his home.
Scottish Senior Football Referees' Association chairman Martin Cryans added: "The pressure placed on referees has intensified in this country in recent years and the last few weeks have highlighted the immense strain placed on our top officials and their families.
"The aim now for the SSFRA is to work, in tandem with Stewart Regan, to help develop a respect initiative."
