Honzík began playing for HC Karlovy Vary's academy team at U18 and U20 level before he was drafted 33rd overall by the Victoriaville Tigres of the Quebec Major Junior Hockey League in the 2010 CHL Import Draft.

[1] In his first season in the QMJHL, Honzík participated in the CHL Top Prospects Game.

Honzík made his Czech Extraliga debut for Karlovy Vary during the 2015 Relegation Round.

He then had a loan spell with HC Dukla Jihlava before returning to the Karlovy Vary lineup for the 2016–17 Czech Extraliga season.

[4] He had two separate loan spells with HC Slavia Praha before returning to Dukla Jihlava on a permanent deal on January 16, 2019.