The Rangers fans were separately captured on video participating in the chaotic scenes which marred the Scottish Cup Quarter Final in March.
Footage showed Mackenzie Graham, 21, from Glasgow, jumping over a fence and leading a group invading the pitch. He repeatedly incited others to do the same.
John Smith, 19, from Peterhead, was seen to have thrown a bottle into Celtic supporters in the stand and was apprehended by police officers.
The disorder broke out at the end of the match and continued as peaceful supporters were ushered to safety, including children and disabled fans.
Both men admitted the charges against them.
Graham was today sentenced to a two-year Community Payback Order alongside an Electronic Monitoring Order. He was further handed a five-year Football Banning Order, which bans him from every football ground in the UK and from travelling to support any team.
Smith was sentenced last month to a 12-month Community Payback Order and four-month Restriction of Liberty Order. He also received a five-year Football Banning Order.
Fraser Gibson, Procurator Fiscal for Glasgow and Strathkelvin, said:
“The behaviour of these two men contributed to mayhem at a major sporting event.
“It caused fear and distress amongst football fans and members of the public.
“Peaceful supporters, children and disabled people were caught up in the chaos and had to be shepherded to safety.
“Football-related crime is a blight on Scotland’s communities. It will not be tolerated.
“It should be understood that anyone who chooses to contribute to football-related disorder can expect to be held accountable by COPFS, Police Scotland and the courts.”