"We have a ratified contact," union president Rita Schwartz announced jubilantly after the vote at Penn's Landing Caterers on Columbus Boulevard.
According to Schwartz, the three-year pact provides job security and ensures that part-time teachers will not replace full-time instructors.
Teachers will receive across-the-board increases in each of the three years, of $1,300, $1,400, and $1,600.
The 711 teachers represented by the union reported to their schools after the vote to prepare for the 16,000 students who will return to school Tuesday.
Students will have to make up five days of lost instruction throughout the academic year. The Office of Catholic Education said students and parents would be told about schedule changes.
Initially, students reported for staggered orientation and testing sessions under the supervision of administrators and members of religious orders beginning Sept. 7. But the schools were closed Wednesday, and the archdiocese said they would remain closed until the strike ended.
After a strike in 2003, students at archdiocesan high schools went to class on holy days and shortened holidays to make up six days.
Both the union and officials from the archdiocese's Office of Catholic Education lauded the terms of the agreement.
"It gives us a cutting-edge program for the students and parents that we serve," said Richard McCarron, secretary for Catholic education.
Theresa Ryan-Szott, the archdiocese's chief negotiator, said that teachers would be required to use an online course-management system and that schools would follow national educational technology standards.