He has been a member of the Chamber of Deputies (MP) for the Civic Democratic Party (ODS) since October 2017.

[1] He led ODS into the municipal elections in Plzeň in 2010,[5] the only regional city where the party won that year.

[7] Baxa led ODS again in the 2014 Plzeň municipal election, in which the party was expected to lose heavily but eventually finished second behind ANO 2011.

[20] In the 2021 Czech parliamentary election, Baxa led the SPOLU coalition's candidate list for the Plzeň Region as a member of ODS.

[22] Upon his appointment, Baxa resigned as mayor of Plzeň in January 2022 and was replaced by Pavel Šindelář.