Griffiths feels that Brown will be the key man over the rest of the season, with Ronny Deila’s team chasing an historic treble by the end of the campaign.
For that to happen, the side needs leadership and resilience, which Brown seems to have in spades.
“He’s a big-game player and has been outstanding the whole season and that’s why he’s captain for club and country, and I fully expect him to continue that,” said the Scot.
“He drives everyone on. He’s a big character in the dressing room and he keeps the lads going but on matchdays he’s focused and wants the team to win well.”
This weekend sees a fourth game in a row against Dundee United and Brown will be an important player because emotions are going to be high.
The Tangerines have made the last three encounters very physical battles, testing the resolve in the key areas of Celtic’s team.
However, Brown and his teammates have risen to the challenge and are playing effectively in all areas.
The skipper also has a big role to play in terms of ensuring that the side doesn’t get carried away with thinking about the possibility of the club winning three trophies.
It’s a cliché way to think about things, but his advice is likely to be one game at a time and then celebrate hard at the end of the season when the trophies are securely locked away in the cabinet.