A new scheme for two-dimensional parallel data transmission with a femtosecond laser pulse through a single-mode fiber, which is based upon one-dimensional space-time conversion technique in conjunction with code division multiple access (CDMA), is implemented and numerically demonstrated. Since many one-dimensional spatial data, which are encoded with their own M-sequence code, must be embedded in a single pulse, the bit-error rate performance degrades compared with conventional CDMA driven by many unsynchronized pulses. Still, two-dimensional digital images in a 16 bits × 16 bits plane (256-bits parallel data) are successfully transmitted by a single femtosecond laser pulse at an equivalent transmission rate of 1.6 Tbit/s and recovered by spectral holography.