The ban will go into effect starting April 1.
Bicycling advocates who spoke during a study session in January urged the council to make the law a primary offense —which allows officers to stop a motorist they suspect is texting, rather than looking for an additional violation to pull them over.
There was a brief discussion about whether the law should ban people from texting in a motor vehicle at all unless it was legally parked. But the law will only ban people from texting while in motion, meaning people can send text messages while they are waiting at lights.
The law will result in a $100 fine for texting while driving or $25o if the driver is involved in a crash while texting.
Councilwoman Karin Uhlich said she was pleased that the council was moving forward and said they could revisit it to make it stricter if needed.
Bicycle advocate Kylie Walzak said she was pleased that the council showed so much support for the ban.
She said she thinks the ban is an important step in curbing distracted driving in Tucson.
Walzak said the city needs to start looking at ways to lower speeds around Tucson and make driving safer.