Background The Ethiopian Federal government has locked down schools as one measure to contain Covid-19 pandemic. Psychological effect of COVID-19 on students is increased due to the reopening of schools. The psychological effect of the pandemic is increasing along with physical aspect of health. Therefore, this study aimed to assess the psychological impact of Covid-19 and its contributing factors of students' behavior in Ethiopia. Methods A cross sectional design was conducted from November to December 2020. Data were collected using pre tested self-administered questionnaire from secondary school students in Gondar city North West Ethiopia. Stratified simple random sampling technique was used to select 403 secondary school students. Data were entered and cleaned with Epidata version 4.62 and exported for analysis STATA version 14. Multivariable logistic regression and multiple linear regression were used to show the association of dependent and independent variables. Independent variables in relation to dependent variable measured using odd ratios and B coefficient with 95% confidence interval for Covid-19 anxiety and preventive behavior of Covid-19 respectively were used. Results A total of 370 students were participated giving response rate of 92%. The prevalence of Covid-19 anxiety and obsession among secondary school students were 38.1% and 40.27% respectively. Being 11th grade 54% (AOR = 0.46; 95%CI:0.22, 0.95) and increased knowledge16% (AOR = 0.84;95%CI: 0.77, 0.89) score associated with decreased COVID19 anxiety while Covid-19 obsession, 14.51 times (AOR = 14.51;95%CI: 8.05, 26.17), and being female 1.6 times (AOR = 1.6; 95%CI: 1.01, 2.51) increased Covid-19 Anxiety. Furthermore, increased self-efficacy 0.5 times (B = 0.5; 95%CI: 0.28, 0.62), and increased cues to action 0.4 times (B = 0.4; 95% CI: 0.19, 0.69) increased preventive behavior of Covid-19 while perceived barrier 0.1 times (B = -0.1; 95%CI:-0.22, 0.01) decrease preventive behavior of Covid-19. Conclusion Almost two individuals of five participants developed COVID-19 anxiety and COVID-19 obsession. Being grade 11th and knowledge were negatively associated with anxiety while being female and being obsessed with COVID-19 were positively associated with anxiety. No variable was associated with obsession of Covid-19. Intervention is needed to reduce anxiety among females. Furthermore, perceived barrier, self-efficacy and cues to action were significant factors of preventive behaviour of Covid-19. Therefore, to increase preventive behaviour of Covid-19, information, education and communication and behavioural change communication should be targeted on reducing barriers and increasing motivations and confidences.
