Jacques Dupont and Cynthia Savard said their problems started around two years ago when the city started work on the new complex in the neighbourhood.
"The water level rose and water infiltrated our basement," Dupont said.
"We had to install pumps to drain the water."
They say that their home has moved so much, the house needs to be supported by beams and the in-ground pool is now six inches above ground.
"The city could have drained the soil," Dupont said. "They're able to do it elsewhere.''
The couple has filed a request to launch class-action lawsuit in Quebec Superior Court.
Dupont and Savard say that nearly 500 people in the area are affected by the flooding and hope that many of them will join the lawsuit.
The City of Quebec says it will not comment because the matter is now before the courts.