  In this work, we have searched quasi-periodic oscillations (QPOs) in the 15
GHz light curve of the FSRQ PKS J0805-0111 monitored by the Owens Valley Radio
Observatory (OVRO) 40 m telescope during the period from January 9,2008 to May
9,2019, using the weighted wavelet Z-transform (WWZ) and the Lomb-Scargle
Periodogram (LSP) techniques. This is the first time to search for periodic
radio signal in the FSRQ PKS J0805-0111 by these two methods. All two methods
consistently reveal a repeating signal with a periodicity of 3.38$\pm$ 0.8
years ($>$99.7\% confidence level). In order to determining the significance of
the periods, the false alarm probability method was used, and a large number of
Monte Carlo simulations were performed. As possible explanations, we discuss a
number of scenarios including the thermal instability of thin disks scenario,
the spiral jet scenario and the binary supermassive black hole scenario, we
expected that the binary black hole scenario, where the QPO is caused by the
precession of the binary black holes, is the most likely explanation. FSRQ PKS
J0805-0111 thus could be a good binary black hole candidate. In the binary
black hole scenario, the distance between the primary black hole and the
secondary black hole is about $1.71\times 10^{16}$ cm.
