The Turin giants were crowned champions last weekend and could finish with the Italian double as they are in the Coppa Italia final on May 19 against Napoli.
There are concerns among fans, however, that Juve, who were not involved in European competition this season, will struggle to cope on three fronts.
However, Agnelli has reassured supporters his team will continue to play at a high standard.
"We know where we have to intervene in order to maintain a competitive team in the future and to remain in the race for our objectives," Agnelli told www.juventus.it.
"We know that every year is a different story and we can't always win, but I can only predict our future to be a winning one.
"Juventus exists to win and this is a sweet sentence.
"It's beautiful to win and we work seven days a week for this to happen."
After disappointing seventh-placed finishes in the previous two campaigns, Juve have shown few weaknesses en-route to their first official scudetto since 2003.
They are unbeaten in the league and have collected 81 points in 37 games, four more than closest rivals AC Milan heading into the final weekend.
If Juventus get at least a point against Atalanta on Sunday in Turin, the club would join Perugia and AC Milan as the only outfits in Serie A to have gone undefeated in a given season.
"With one game to go we have the best defence, we are unbeaten and, above all, we are Italian champions," Agnelli said.
"This scudetto is the first dream that has materialised."
Juve were stripped of their 2005 and 2006 scudetti for their involvement in a match-fixing scandal that rocked Italy six years ago.
The club were also relegated to the second tier for the first time in their history as part of their punishment.
"For me this scudetto represents a rediscovered pride of the Juventus people," Agnelli said. "It was the first aim I had when I took over as president two years ago.
"When I arrived here, the situation was a difficult one from a club and sporting point of view.
"I wanted to bring the right people that had the right spirit to the club and it's thanks to them that we have arrived here."
One of those choices was to put former Juventus midfielder Antonio Conte in charge of the team last summer.
"The coach has transmitted great determination, aggression and conviction to reach an objective that at the start of the season we could not even have hoped for," Agnelli said.