Terpenes are fragrant aromatic compounds produced by a variety of plants, most notably cannabis and hops. With increasing legalization of recreational and medicinal cannabis there is growing interest to better understand the behavioural effects of terpenes and ultimately their therapeutic value. Our study investigated the dose-dependent impact of three terpenes (limonene 0.25, 0.5, 0.75%; β-myrcene 0.001, 0.01, 0.1%; and 0.0001, 0.001, 0.00125% linalool) on zebrafish (Danio rerio) behaviour when exposed both acutely and repeatedly over a 7-day period. Anxiety-like behaviour, boldness, and locomotion were assessed using the open field test and the novel object approach test. In the acute dosing experiment, limonene and β-myrcene treatment groups demonstrated a significant decrease in locomotion, a decrease in anxiety-like behaviour, and an increase in boldness, while linalool treatment groups had minor alterations in locomotion. Moreover, chronic exposure to limonene (0.39%) or β-myrcene (0.0083%) did not result in any significant behavioural effects, suggesting that anxiety-like behaviour, locomotion, and boldness were not impacted at these levels. In conclusion, our study provides support for an anxiolytic and sedative effect in zebrafish in response to acute limonene, β-myrcene, and linalool exposure.