The aim of this research is to examine the relation between the availability of flexible work arrangements employee engagement of academic staff of Covenant University.  The stud employed a survey research design. Simple random sampling technique was used in selecting 246 respondents for the study. The data for the study were collected through the use of structured questionnaire. The data generated were analyzed with the using descriptive statistics of mean, regression and spearman rank correlation. The result from the analysis showed that availability of flextime and flexi place leads to higher employee engagement and organizational commitment.  The researcher recommended that organizations should consider the importance of dedicated employees and what return on investment they might receive for offering flexible work arrangements to their employees. Thus, the study concluded that the availability of flextime and partially flextime seems to enrich employee personal life, which, in turn, results in increase in employee engagement and organizational commitment.