Ruling on renting a shop to open an internet café
Question

                We have a shop we want to rent if Allah wills.  A tenant came to us and he wants to make it into an internet café. Is it permissible for us to let him rent it? Please tell us if there are any rules to be in consideration. Does the landlord have to make sure of which type of work the tenant is going to do in his shop; is he responsible for it?.
Praise be to Allah.Firstly: 
A rental contract is a kind 
    of contract that is permissible in Islamic sharee’ah, according to scholarly 
    consensus. The scholars have stated that in order for a contract to be 
    valid, there are several conditions, such as that the usage be permissible, 
    so it is not permissible to rent a house to one who will make it into a 
    church or a store for selling alcohol. If it is rented for such purposes 
    then the contract is not valid, because the usage is not permissible.  
Shaykh al-Islam Ibn 
    Taymiyah (may Allaah have mercy on him) said: Sales of things which be used 
    for haraam purposes are not valid, such as selling grapes to one who will 
    use them to make wine, if that is known, as is the view of Ahmad and others, 
    or suspected, as in one of the two views narrated from him. This is 
    supported by the fact that our companions said: If the landlord thinks that 
    the renter is renting the house for sinful purposes such as selling wine and 
    the like, then it is not permissible for him to rent that house to him, and 
    the rental contract is not valid. Sales and rentals are the same. End quote 
    from al-Fataawa al-Kubra (5/388). 
It says in Mataalib Ooli 
    al-Nuha (3/607):  It is not valid to rent out a house to be used as a 
    church or synagogue or hermitage, or as a “fire temple” for Magian 
    (Zoroastrian) worship, or for selling alcohol or gambling, because that is 
    helping in sin, and Allaah says (interpretation of the meaning): “do not 
    help one another in sin and transgression” [al-Maa’idah 5:2]; or to rent 
    it out for music and singing, or anything that the Lawgiver has forbidden. 
    This is the correct view. If the haraam usage is mentioned in the rental 
    contract or is known from circumstantial evidence, the contract is invalid. 
    So it is not permissible to rent it out to him, and the landlord of the 
    house may prevent the dhimmi renter from selling wine in rented premises 
    because it is a sin. End quote. 
Secondly:  
Internet cafés may be used 
    for good or evil, but they are more often used for evil. If the person who 
    rents the shop is keen to control it, and to forbid evil actions such as 
    watching haraam things, visiting bad sites, smoking cigarettes and 
    narghiles, and gambling, then it is permissible to rent the shop to him, and 
    the income earned from that rental will be halaal.
 But if the landlord knows 
    or thinks it most likely, from what he sees of the majority of people in his 
    city, or from the one who wants to rent the shop, that he will not control 
    the place or prevent evil actions from taking place there, or that he will 
    not be able to control it, or controlling it will be too difficult, because 
    of advanced technology and different programs that enable people to go to 
    forbidden sites, then it is not permissible for him to rent it to him, 
    because that is helping in sin and transgression, and Allaah says 
    (interpretation of the meaning): 
“Help you one another in 
    Al‑Birr and At‑Taqwa (virtue, righteousness and piety); but do not help one 
    another in sin and transgression. And fear Allaah. Verily, Allaah is Severe 
    in punishment”
[al-Maa’idah 5:2]
See also the answer to 
    question no. 82873 and
    34672 
And Allaah knows best.