Citizens from the University Hills area petitioned the city to hire a scientific team of experts to work exclusively with Irving.
Council members said they are committed to finding out what is causing the quakes, but feel it is a state issue.
The Texas Legislature has already approved $4.5 million to study earthquakes in the state.
Those findings will go straight to Gov. Abbott's office.
SMU already has 10 seismographs monitoring the Irving area for activity.
Over the past year, more than 60 minor earthquakes have hit North Texas.