The aim of the study was to examine the prevalence of suicide thoughts and -attempts during the early stage of the COVID-19 outbreak and examine factors associated with suicide thoughts in the general Norwegian population. A sample of 4527 adults living in Norway were recruited via social media. Data related to suicide thoughts and attempts, mental health variables, pandemic-related concerns and sociodemographic variables were collected. Associations with suicide thoughts were analyzed with logistic regression analysis. In the sample, 3.6 % reported suicide thoughts during the last month, while 0.2 % had attempted to commit suicide during the same period. Lower age (OR: 0.66, p < 0.001), daily alcohol use (OR: 3.29, p < 0.001), being in the risk group for COVID-19 complications (OR: 2.38, p < 0.01), and having economic concerns related to the pandemic (OR: 2.51, p < 0.001) were associated with having suicide thoughts. In addition to known risk factors, the study suggests that aspects specific to COVID-19 may be important for suicidal behaviors during the pandemic.