God is our creator, he is the giver of life, and he alone has the right to end it. Suicide is forbidden in Islam; this sin is listed among the "enormities" in Reliance of the Traveller, a manual of Sharia in the tradition of Imam Shafi'i.
Those who committed suicide ...
Do not kill yourselves, for Allah is compassionate towards you. Whoever does so, in transgression and wrongfully, We shall roast in a fire, and that is an easy matter for Allah. (an-Nisaa 4:29-30)
Narrated Thabit bin Ad-Dahhak:
The Prophet said, "Whoever intentionally swears falsely by a religion other than Islam, then he is what he has said, (e.g. if he says, 'If such thing is not true then I am a Jew,' he is really a Jew). And whoever commits suicide with piece of iron will be punished with the same piece of iron in the Hell Fire." Narrated Jundab the Prophet said, "A man was inflicted with wounds and he committed suicide, and so Allah said: My slave has caused death on himself hurriedly, so I forbid Paradise for him." (Sahih Bukhari 2.445)
Narrated Abu Huraira:
The Prophet said, "He who commits suicide by throttling shall keep on throttling himself in the Hell Fire (forever) and he who commits suicide by stabbing himself shall keep on stabbing himself in the Hell-Fire." (Sahih Bukhari 2.446, 2.445)
On the other hand, "SUICIDE BOMBERS" are celebrated as martyrs.
Further Reading: