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Observations in astronomy suggest that our Universe contains an abundance of matter over antimatter, which can only be explained if the combined <inline-formula><math display="inline"><semantics><mrow><mi>C</mi><mspace width="-0.166667em"></mspace><mi>P</mi></mrow></semantics></math></inline-formula> symmetry is violated. Studies of <inline-formula><math display="inline"><semantics><mrow><mi>C</mi><mspace width="-0.166667em"></mspace><mi>P</mi></mrow></semantics></math></inline-formula> violation have driven the flavor physics with the aim of testing the Standard Model of particle physics and searching for physics beyond it. <inline-formula><math display="inline"><semantics><mrow><mi>C</mi><mspace width="-0.166667em"></mspace><mi>P</mi></mrow></semantics></math></inline-formula> violation is discovered in strange, beauty, and charm meson systems; however, no conclusive sign of <inline-formula><math display="inline"><semantics><mrow><mi>C</mi><mspace width="-0.166667em"></mspace><mi>P</mi></mrow></semantics></math></inline-formula> violation in baryon decays has been observed yet. This review summarizes <inline-formula><math display="inline"><semantics><mrow><mi>C</mi><mspace width="-0.166667em"></mspace><mi>P</mi></mrow></semantics></math></inline-formula> violation studies performed by the LHCb experiment in charmless decays and rare decays of beauty baryons and singly Cabibbo-suppressed decays of charm baryons. A brief on prospects for future LHCb measurements is also discussed.