The German international, who starred in this week's League Cup win over Aston Villa, says that Spurs are good enough to challenge on all four fronts this term.
"Silverware is silverware. There's four cups to play for and you want to win all of them," Holtby said.
"If you want to go to the top as a professional footballer you try to win every game and you try to win every trophy.
"That's what we are trying to do and we just have to work like we have as a team the last couple of weeks. We have a big chance of winning something but it is a very long season."
Spurs face Chelsea this weekend in a London derby, and Holtby admits that their 'title' credentials will be on the line.
"I don't want to put that word [title] in the mouth but we are aiming for very high things," he said.
"We want to get in the top four, we want to play Champions League. That is the main aim. I think we have the squad to do that, the quality and depth as well.
"It's early in the season. Unfortunately we lost the derby [against Arsenal 1-0] but we did the job in winning against the teams beneath us.
"We have to keep that up, especially against Chelsea in the London derby, it is very important to win a big game like that to stay up top and give us the confidence we need.
"Chelsea is a massive game for us and a positive result can give us the confidence we need for the rest of the season.
"We want to get in the top four. We want to play Champions League. That is the main aim."
Holtby insists he has no regrets about quitting Schalke last season for White Hart Lane.
"I wanted to come here," said the 23-year-old.
"I wanted to have this challenge.
"I could have stayed at Schalke. I could have played there all the time.
"But I wanted to fulfil my dream of playing for a top club in the Premier League.
"I know Tottenham are going to do something big and I wanted to be part of it."
Holtby likens the Tottenham situation to the one Bayern Munich faced last season, when Jupp Heynckes managed to sustain a challenge on all fronts that eventually saw them complete an historic treble.
"At Bayern Munich, everyone just did their work," Holtby said.
"The players were always patient and did their jobs for the team.
"That's why they won every title - and that's how I see it here."