The present invention is related to an implant with anti-inflammatory or antibacterial effects, or both, the implant being intended for implantation in a human or an animal body, the implant comprising at least one porous grain or granule, wherein the at least one porous grain or granule comprises titanium, one or more titanium oxides or titanium alloy and has a titanium oxide layer on its surface; has a mean length from one side to the opposite side, through a geometrical centre, of up to 5 mm; has a mean specific surface area of at least 0.15 m.sup.2/g according to the BET method. Moreover, disclosed is also a method for treating a condition comprising an inflammation or/and an infection present in a human or animal body with implants according to the invention. Described is also a method for producing implants according to the invention from a piece of a crude titanium or titanium alloy sponge, comprising the steps of: choosing and removing a porous peripheral, but not most outer, part of the piece of the crude titanium or titanium alloy sponge; analysing that part in view of the chemical composition for potential impurities; crushing that part, if pure, and; finally selecting the implants by sieving and analysis in batches, the analysis in batches being performed by scanning electron microscopy (SEM) or by gas absorption with nitrogen, the Hg method and/or the BET method.