The France star hopes Real Madrid's world-record signing will help the team win titles, while Marcelo says that his recovery from injury is going well
The Welshman made the switch to Madrid from Tottenham for a record-breaking fee of €100 million, which many believe could burden the 24-year-old.
However, Benzema, who may be feeling the pressure himself following his 20-hour goal drought with France, insists Bale can help the club achieve success across all competitions.
"He is a really good player, and he is very nice," Benzema told reporters at the unveiling of Madrid's third kit.
"Hopefully he will help us win a lot of titles."
After a promising start to the new campaign, in which the Frenchman has scored two goals and two assists in his first three games, Benzema hopes he can continue the rest of the season in the same fashion.
He added: "It is true, things have been going well for me recently. I will continue to work hard and hopefully I will continue to score plenty of goals as well."
Los Blancos are paired with Juventus, Galatasaray and Copenhagen in the Champions League Group B this season and Benzema reflected on the draw.
"It's a difficult group, but to win this competition you have to win against all the teams," he added.
Meanwhile, team-mate Marcelo has revealed that his recovery is going well and hopes he can soon contribute to Madrid's success in European competition.
"I'm getting better every day, I hope soon I'll able to play. The shirt's colour is very strong and will hopefully give us energy and strength to win games in the Champions League," he added.
"We want to get as far as possible, we know it's hard but we look forward to giving joy to the fans."
Madrid start their Champions League campaign with a trip to Turkish giants Galatasaray on September 17.