An extremely similar incense burner exists in the L.A. Mayer Memorial in Jerusalem; it is of the same shape and has a similar flower on the top with pillars arising from the four corners (Baer, pl.33, pp.46-50). From its sparse decoration it seems to have been a household utensil.
This square based form seems to be a variant of the cylindrical three-footed type and appears to have an architectural prototype (Atil et.al., pl.20, p.59). Such shapes existed in Byzantine architecture after the ninth century and are also found in the Central Asian architectural tradition. In keeping with this eastern influence is the presence of the flowers or lotus blossoms which are reminiscent of decorations on Indian domes and stupas, and which are often used alongside vine and eagle motifs typical of Byzantine decoration.
The mix of eastern and western Islamic motifs used in these incense burners combined with insufficient data makes it hard to assign a definite place of origin to such objects. For a discussion of these ideas see Allan.

Atil,E., Chase,W.T., Jett,P.: Islamic Metalwork in the Freer Gallery of Art Washington 1985
Baer,E.: Metalwork in Medieval Islamic Art, New York 1983.
Allan,J.: Metalwork of the Islamic World. The Aron Collection, New York 1986.