Fortunately, you can solve arguments in a number of ways without becoming angry and destructive. Remember that, despite your differences, you love and respect each other. The viewpoints of everyone in the family are worth hearing and need to be respected.
The first step is for each family member to do their best to listen carefully to the others. Calmly try to clarify the differences in the argument, taking the time to say, “I'm not sure I understand. Do you mean—?”
Define the conflict and frame it so that it's you and your partner or family vs. the problem, not you against your partner or children.
Once you understand the problem, you can start to work on a compromise that benefits everyone involved. People with jobs in conflict resolution call this a “win/win” solution, an agreement in which everyone is a winner.
If a problem bubbles up, make sure to get it resolved right away rather than letting it fester. Many couples, especially those with young children, may use their kids as an excuse for not resolving their problems with each other. They reason that the kids take up too much time and that they don't need to focus on their relationship. This is untrue and can lead to problems down the road. Don't let an unresolved conflict be a roadblock in your marriage or relationship.
Above all, avoid criticizing, being defensive, stonewalling, and acting with contempt. These are dangerous behaviors. They are considered serious threats to marriage.
If a fight has grown too intense, it might be necessary to take a time-out. Don't forget about the argument entirely. Try to revisit this issue once everyone is calmer, when you're in a better frame of mind to reach an agreement that meets all needs.