The Hoops are currently top of the Scottish Premiership and have a Scottish Cup semi-final to look forward to.
Ronny Deila's men have a maximum of nine games left this term, with seven remaining to secure the Scottish Premiership title for a fifth consecutive year, while they also have a Scottish Cup semi-final against Rangers to come later this month.
And Brown believes that the Hoops squad has the ability to ensure that they go on the kind of dominant run that leads them to a league and cup double this season.
"There is no doubt that we can go through the remaining seven league games unbeaten now - and that is exactly what we intend to do. Plus there is a Scottish Cup semi-final and possible final so there is a lot for us to be looking forward to," he told the Evening Times.
"We always want to win every game but I think we are starting to feel as though we have got a fair bit of momentum behind us now.
"There is silverware up for offer now and we know what we have to do. We have put a bit of light between ourselves and Aberdeen now and the aim is to keep moving forward now."
The Bhoys have arguably got one hand on the league trophy already as they current boast a four point lead over Aberdeen, and still have a game in hand over their nearest challengers to utilise before the top flight splits.
Meanwhile, they will consider themselves strong favourites for the cup. Dundee United are the only other Premiership side in the last four, and they are five points adrift at the bottom of the table, so if they can negotiate the Old Firm clash successfully - while Mark Warburton's men are obviously in the division below, the rivalry arguably provides a sense of unpredictability - they will have more than enough confidence of dispatching whoever is put in front of them in the final.