Striker Pius Buswita notched the goal that separated the two teams during the opening half to give Yanga valuable three points which have seen the side move to the third position in the league's table with 25 points from 14 matches.
Yanga, though, were largely unconvincing as they struggled to create meaningful opportunities and were forced to defend for the better part of the second half as Ruvu Shooting pressed for an equalizer.
A defensive mix-up by the Coast Region outfit came close to costing the team dearly on the fifth minute as goalkeeper Abdallah Rashid had to react on time to collect the ball after one of his defenders had carelessly attempted to foil Yanga's move.
Yanga looked to have lacked creativity on the final third of the pitch during the early stages of the match, as the side's strikers led by Amissi Tambwe struggled to get on the back of Ruvu Shooting defenders.
The first meaningful opportunity for Yanga came on the 14th minute as midfielder Raphael Alpha shot wide from outside Ruvu Shooting's area after he had been released by team mate.
Forward Abdulrahman Musa wasted an opportunity to score the opener for Ruvu Shooting later on as he shot over from inside Yanga's area after having jinxed past left fullback Mwinyi Haji.
Ruvu Shooting's keeper made double save on the 28th minute to prevent Yanga striker Tambwe from scoring off a cross by Haji.
Ruvu Shooting defenders, who had opted for a disciplined approach for most of the opening half, made a quick reaction to foil a free kick by Yanga striker Ibrahim Ajibu from outside the former's area a minute before the breather.
Ruvu Shooting forward tested Yanga's goalie Youthe Rostand with a snap shot from outside the latter's area and the keeper saved the effort.
Forward Issa Kanduru wasted a glorious chance for Ruvu Shooting during the added on time, in which he blasted over from inside Yanga's area after he had latched onto on a cross from the right flank..
Ruvu Shooting were made to pay for their wastefulness as Yanga grabbed the opener through striker Buswita who connected home a cross from the right flank with a header.
The opening 45 minutes ultimately ended with Yanga leading by the lone goal.
Yanga went close on two occasions as soon as the second half started as central defender Said Juma and winger Emmanuel Martin saw their attempts from within Ruvu Shooting's 18 yards go off target.
Ruvu Shooting's Kanduru threw overboard an opportunity to level matters for his team thereafter in which he got the better of Rostand within Yanga's area and dilly dallied with the ball to allow Yanga defenders to thwart the attack.
Ruvu Shooting central defender Damas Makwaya reacted on time to clear a dangerous cross by right fullback Hassan Ramadhan from the right flank on the 62nd minute.
A fierece right foot shot by Ruvu Shooting defender Baraka Mtui from almost 40 meters was easily saved by Yanga keeper Rostand.
Second half substitute Juma Mahadhi fluffed a good chance to score the second goal for Yanga two minute from the final whistle in which he shot over dfrom inside the opponents' area as he met a centre by Martin from the left flank.
Ruvu Shooting had an edge over Yanga during the latter stages and kept the latter's defense busy.
Azam FC wrestled the top spot from Simba with a 2-0 win over Mbeya's Prisons at the Sokoine Stadium the same day.
Azam FC has therefore posted 30 points from 14 matches to stay a point above Simba, who will face Kagera Sugar at the Kaitaba Stadium in Kagera today.