The governing body emphasized that the match official communicated the conclusion of the game clearly to both teams on the pitch.
"We fully support the decisive action taken by Don Robertson and his team to end the game," added the governing body.
The SFA confirmed that the Match Incident Report verified the precise sequence of events during the final moments of the fixture.
The association noted that in the context of what unfolded – which is verified by the footage and the Match Incident Report submitted to the Scottish FA – the match official clearly communicated that the match was ended and not abandoned.
The statement followed broader security concerns after a 19-year-old man was charged for leaking referee John Beaton's personal data online prior to this fixture.
Derek McInnes, Hearts Head Coach, intimated concerns over player safety during his direct dialogue with the referee on the pitch.
Hearts shareholder Tony Bloom separately alleged that home supporters physically assaulted the visiting players during the post-goal chaos.
Celtic manager Martin O'Neill dismissed the external criticism surrounding the pitch invasion as nonsense.
The Celtic manager further argued that the allegations concerning physical assault against the visiting players remained entirely unproven.
"Not been proved," added Martin O'Neill.
The Scottish Senior Football Referees' Association issued a concurrent warning demanding stronger regulatory frameworks and meaningful sanctions from authorities to protect officials from threats.
The referees' union stated that irresponsible commentary from some managers, clubs and sections of the media has only served to fuel an already toxic environment.
