The conditions pertaining to the hunter are the same as those which pertain to the butcher: that he should be either a Muslim, a Jew, a Christian, a Zoroastrian, or a Sabean.

Islam teaches the hunter that he should not hunt merely for sport, taking the life of animals without intending to eat them or otherwise benefit from them. The Prophet (peace be on him) said: If someone kills a sparrow for sport, the sparrow will cry out on the Day of Judgement, 'O Lord! That person killed me in vain! He did not kill me for any useful purpose.' (Reported by al-Nisai and by Ibn Hibban in his Sahih.)
Again, he said: Whoever kills a sparrow or anything bigger than that without a just cause, Allah will hold him accountable on the Day of Judgement. The listeners asked, O Messenger of Allah, what is a just cause? He replied, That he kill it to eat, not to simply chop off its head and then throw it away. (Reported by al-Nisai and al-Hakim who said that its transmission is sound.)

Another condition is that the Muslim should not be in the state of ihram (Ihram refers to the state of consecration, physical and spiritual, of the Muslim who is performing hajj, the obligatory pilgrimage, or 'umrah, the lesser and voluntary pilgrimage. (Trans.)) for hajj or 'umrah, for at that time he is in a state of total peace and serenity, the sphere of which extends to the animals and birds around him. Even if some game should appear right in front of him so that he could catch or kill it with a spear, it is not permissible for him to do so. This is to test and train the Believer in order to make him strong and patient. As Allah Ta'ala says: O you who believe! Do not kill game while you are in the state of ihram.... ihram.... (5:98 (95))
...And hunting is haram for you while you are in the state of ihram.... (5:2(1))