Hair piece (1) for connection with basic hair (11) comprising at least one thin, broad hair bundle (10) consisting of a number of parallelly oriented hairs (20), a weaving band (2) made from hair or another suitable material the weaving band (2) being interconnected with an outer end of the hair bundle (11), whereby the weaving band (2) is provided with a - zigzag, staggered running - wave-form as a result of which the weaving band (2) comprises band crests 4 and band troughs (5), and the weaving band (2) is further provided with support elements (12) for maintaining the wave-form of the weaving band.