It is narrated from Hazrat Abu Umamah (may Allah be pleased with him) that the Holy Prophet (peace and blessings of Allah be upon him) said: Whoever initiates the greeting of peace is closer to Allah and His Messenger.
Hadith Referenceمسند احمد / مسند الأنصار رضي الله عنهم / 22279
Hadith Gradingحکم دارالسلام:حديث صحيح، وهذا إسناد ضعيف جدا من أجل على بن يزيد وعبيد الله بن زحر