You can apologize to a person by mending whatever it is that caused the issue between you two. Unless you correct or make up for the wrong, the problem would persist and any amount of apology would be futile.
Sincerely say that you are sorry
Simply saying sorry is not enough. You have to say the word in an extremely convincing manner, letting the other person know that you are not just uttering the word, but actually mean it from the core of your heart.
Take them out
Plan a day out with the person whom you have wronged. If the person goes out with you, then it will be a clear sign that they are willing to forgive you. Make the most of the opportunity.
Accept and promise never to repeat it
Accepting your mistake is the first step towards earning someone’s forgiveness. You need to show the other person that you feel remorse. After accepting your mistake, make a promise to never repeat the mistake again.
Ask for punishment
Ask the person what they would like you to do in order to get their forgiveness. Show your willingness to accept whatever punishment they decide for you. Make sure they know that you are doing it simply because you care a lot about them.
Make them feel important
You may have hurt them and shattered the trust that they had in you. In order to earn their forgiveness, try to gain their trust again by treating them well and making them feel special.
Your gestures can communicate your desire to mend relations with the person you have wrong and earn their forgiveness. Make something special for them such as dinner. Sometimes, your gestures can communicate your feelings far better than words.