A search for
C
P
violation in the
Λ
0
b
→
p
π
−
π
+
π
−
decay is performed using LHCb data corresponding to an integrated luminosity of
6.6
 
 
fb
−
1
collected in
p
p
collisions at center-of-mass energies of 7, 8 and 13 TeV. The analysis uses both triple product asymmetries and the unbinned energy test method. The highest significances of
C
P
asymmetry are 2.9 standard deviations from triple product asymmetries and 3.0 standard deviations for the energy test method. Once the global
p
-value is considered, all results are consistent with no
C
P
violation. Parity violation is observed at a significance of 5.5 standard deviations for the triple product asymmetry method and 5.3 standard deviations for the energy test method. The reported deviations are given in regions of phase space.