There are two things that happen in any conversation: One person talks and the other person listens. At least, that's how it's supposed to go. Listening skills are vital to any kind of conversation and conflict resolution. Not only that, but someone who really feels like he's being heard in a conversation is probably more likely to remain calm and keep the back and forth going. Once someone in conflict feels like his words are falling on deaf ears, then problems start.
Listening is not only important to make the other person feel respected, but it actually helps you out as well. If you're truly listening, then you're not simply waiting for your turn to speak. Genuine listening skills will make your relationship strong and keep the lines of communication open. Work on your listening skills by taking time after the other person speaks to contemplate his words before you reply.