Positioning service is indispensable in next-generation mobile communications and is expected to have various applications. This paper proposes a positioning method using first path searching in the correlation between a received signal and the replica of the transmitted signal to calculate the TDoA (Time Difference of Arrival) and ToA (Time of Arrival) for W-CDMA (Wideband-Code Division Multiple Access) and OFDM (Orthogonal Frequency Division Multiplexing) in a broadband cellular mobile communication systems. W-CDMA and OFDM are both powerful modulation candidates in the next generation and are compared here in terms of positioning accuracy. The chip correlation in W-CDMA and the total signal correlation in OFDM are used. Uplink and downlink type positioning methods are also compared. Computer simulation shows that the proposed method gives good positioning performance in multi-path fading channels.