We present spectrophotometric data for the old nova CP Puppis (Nova Pu
ppis 1942) that demonstrates the simultaneous existence of two distinc
t periods for the system. We find that the photometric period of 0.068
34(7) day is 11% longer than the spectroscopic period. We also present
Doppler tomographic images of CP Pup that indicate the existence of a
n accretion disk in the system. Finally, we interpret the observationa
l evidence in terms of a DQ Herculis model and an SU Ursae Majoris mod
el for CP Pup. While the evidence mildly supports both interpretations
, it is insufficient for us to conclusively classify CP Pup as either
a DQ Her system or an SU UMa system.