The hosts took the lead against the run of play in the first half when Nathan Redmond played a brilliant ball to send Takumi Minamino clear and the on-loan Liverpool striker showed great composure to slot beyond Edouard Mendy.
But the Saints gifted Chelsea an equaliser eight minutes after the break when Danny Ings brought down Mason Mount inside the box and the Blues midfielder stepped up to send Alex McCarthy the wrong way from the penalty spot.
Ward-Prowse said, "[This point is] important. It's not nice to be on a losing streak.
"We knew it was going to be tough. We were up against a very tough team, rejuvenated with a new manager.
"It was a great finish from [Minamino]. He showed his quality and his class.
"[Chelsea's penalty] was their only real moment in the game where they showed us difficulties. Everybody to a man defended really well.
"We were up against some really good players so we showed that little bit of grit today.
"Every team goes through a tough period. The games come fast so there's plenty of opportunities to put things right. This was a good step."