To spread the Islamic greeting to both known and Unknown Muslims
The Prophet (peace and blessings of Allaah be upon him) made spreading salaam a part of faith.
Al-Bukhaari (12, 28 and 6236), Muslim (39), Ahmad (2/169), Abu Dawood (5494), al-Nisaa'i, (8/107) and Ibn Hibbaan (505)
Narrated from 'Abd-Allaah ibn 'Umar that a man asked the Messenger of Allaah (peace and blessings of Allaah be upon him): "What is the best thing in Islam?" He said, "Feeding others and giving the greeting of salaam to those whom you know and those whom you do not know."
The Arabs used to greet one another with the words "An'im sabaahan" or "An'imu sabaahan" [equivalent to "Good morning" - Translator], using words derived from "al-ni'mah", which means good living after the morning. The idea was that because the morning is the first part of the day, if a person encounters something good in the morning, the rest of the day will be good too.
When Islam came, Allaah prescribed that the manner of greeting among Muslims should be "Al-salaamu alaykum," and that this greeting should only be used among Muslims and not for other nations. The meaning of salaam (literally, peace) is harmlessness, safety and protection from evil and from faults. The name al-Salaam is a Name of Allaah, may He be exalted, so the meaning of the greeting of salaam which is required among Muslims is, "May the blessing of His Name descend upon you." The usage of the preposition 'ala in 'alaykum (upon you) indicates that the greeting is inclusive.
Ibn al-Qayyim said in Badaa'i' al-Fawaa'id (144):
"Allaah, the Sovereign, the Most Holy, the Peace, prescribed that the greeting among the people of Islam should be 'al-salaamu 'alaykum', which is better than all the greetings of other nations which include impossible ideas or lies, such as saying, 'May you live for a thousand years,' or things that are not accurate, such as 'An'im sabaahan (Good morning),' or actions that are not right, such as prostrating in greeting. Thus the greeting of salaam is better than all of these, because it has the meaning of safety which is life, without which nothing else can be achieved. So this takes precedence over all other aims or objectives. A person has two main aims in life: to keep himself safe from evil, and to get something good. Keeping safe from evil takes precedence over getting something good"
Calling to the Qur'aan and Sunnah With the Understanding of Salaf Reminders and Quotes from the Qur'aan and Hadeeth and the Scholars