In this paper, Compressive Sensing (CS) methods for Direct Sequence Spread Spectrum (DSSS) signals are introduced. DSSS signals are formed by modulating the original signal by a Pseudo-Noise sequence. This modulation spreads the spectra over a large bandwidth and makes interception of DSSS signals challenging. Interception of DSSS signals using traditional methods require Analog-to-Digital Converters sampling at very high rates to capture the full bandwidth. In this work, we propose CS methods that can intercept DSSS signals from compressive measurements. The proposed methods are evaluated with DSSS signals generated using Maximum-length Sequences and Binary Phase-Shift-Keying modulation at varying signal-to-noise and compression ratios.