A planer head includes a cylindrical body having a first end, a second end and a crenelated curved face extending therebetween and including a plurality of pockets receiving a plurality of knives and knife holders. A clamping assembly connects each of the plurality of knife holders to their corresponding knives by frictional engagement. The clamping assembly includes at least one pair of clamping elements, each being disposed on a corresponding one of the first and second ends of the body. When moved in the longitudinal direction toward each other, the at least one pair of clamping elements forcing the plurality of knife holders in the radial direction thereby engaging in friction the knife holders with their corresponding knives and knife pockets of the body. A number of pairs of clamping elements is lower than a number of at least one of knives and knife holders. A kit for a planer head assembly, a clamping assembly, and a planer body are also presented.