The 2019-20 Scottish Cup final was postponed earlier this year due to the COVID-19 pandemic, which ended the Premiership season early with Celtic declared league champions.
They also won the League Cup last December after beating arch rivals Rangers 1-0 in the final.
The result could give Celtic a kickstart in their current campaign where they lie second in the Premiership standings -- 16 points behind Rangers with three games in hand -- while they were dumped out of the League Cup by Ross County last month.
Lennon has been under pressure due to their mixed start and he dedicated the “monumental achievement” to the board who had backed him earlier this month despite their poor run of form.
“I would like to dedicate it to (director) Dermot Desmond, (chief executive) Peter Lawwell and the board for their unwavering support,” Lennon told BBC.