The invention relates a method for producing a suspension of microfibrillated cellulose. The method comprises at least the steps of obtaining an aqueous suspension of natural cellulose fibres adding an additive consisting of at least one natural polymer to the suspension of natural cellulose fibres and feeding the obtained mixture comprising natural cellulose fibres and the additive into a homogenizer or a fluidizer. The invention relates also to a microfibrillated cellulose obtained by the method and its use.