PSG largely struggled to break down a stubborn Marseille defence despite starting with Lionel Messi, Kylian Mbappe and Neymar, before its hopes of claiming all three points were dented when Achraf Hakimi received a straight red card in the 57th minute for bringing down Cengiz Under.
Marseille went close to finding a winner in the closing stages, while Messi was chased by a spectator late in the second half, with security slow to apprehend the man.
The result stretched PSG's unbeaten run at Marseille in Ligue 1 to nine games, while it has kept clean sheets at the Orange Velodrome in three straight matches for the first time in its history.
Despite PSG's lacklustre showing in attack, Pochettino was pleased with his side's efforts in front of a hostile home crowd, who routinely threw objects at PSG players as they took corners.
"I think overall our performance was good," he said. "We played almost 40 minutes with 10 men because of Hakimi's red card. Yes, we wanted to win, it was our idea. But, in the end, we are quite happy with this performance.
"I think we played well. Yes, it was a very good game, with different phases. I think we just missed scoring. We did a lot of positive things. I'm pretty happy because it was a very difficult game.
"The team showed character and personality. By playing with 10 for 40 minutes, I think we showed a lot of character. Of course, we showed identity and style in the game."
The result means PSG is seven points clear at the Ligue 1 summit, while Marseille is 10 points behind in fourth, although Jorge Sampaoli's side has a game in hand.
It was its first draw of the season and, while happy with the performance, Pochettino expects his side to return to winning ways soon.
"Obviously, as coach of PSG, we always hope to win, but I can only congratulate the players for what they did today," he said. "We are in search of a balance. From experience, we know that these periods in October and November are always difficult.
"But I am happy with the progress of the team, I am satisfied with where it is today in its course of evolution."
PSG is next in action on Saturday (AEDT) when it hosts reigning champion Lille at the Parc des Princes.