Ticks are of great economic importance to man and animals due to their role in disease transmission and other effects they have on their hosts. This impact warrants appropriate tick control strategies. The application of synthetic, chemical acaricides on the animal and/or the environment (the most commonly used tick control method globally) has led to the selection of tick populations that are resistant. Their adverse effects on ecology, human and animal health also, cannot be overemphasised. As a result of this, the search for alternatives that are natural and can overcome these adverse effects are strongly indicated. Using gas chromatography–mass spectrometry (GC‐MS) and adult immersion test (AIT), this study evaluated the chemical compositions and acaricidal activity respectively of E. globulus essential oil (EO) on R. ( B. ) annulatus ticks. The acaricidal activity was evaluated using different concentrations (1.25, 2.5, 5 and 10%) of E. globulus EO. Amitraz (0.1 and 0.2%) served as the positive control and 2% dimethylsulfoxide was the negative control. Three replicates of ten engorged female ticks each were immersed in the test samples for two minutes. The GC‐MS analysis showed the E. globulus EO has eucalyptol, cyclohexanone and menthol as major constituents. Eucalyptus globulus EO caused 97% acaricidal mortality at 10% concentrations. Lower concentrations (1.25, 2.5, 5%) reduced tick fecundity up to 90% in a dose‐dependent manner. This study provides support for ongoing possibility of plant EOs as alternative tick control strategy for humans and animals.