We aimed to investigate depression, anxiety, stress, and PTSD symptoms and their relationship with disease severity in acutely ill hospitalized Coronavirus disease 2019 (COVID-19) patients. A single-center cross-sectional observational survey study screening for psychiatric symptoms using the Depression, Anxiety and Stress Scale—21 Items (DASS-21) and the Impact of Events Scale-Revised (IES-R) questionnaires was performed including a total of 169 acutely ill COVID-19 patients. All patients were adults and of white race and developed respiratory insufficiency during hospitalization. Demographic, clinical and laboratory data were evaluated as predictors of psychiatric symptoms. We hypothesized that higher intensity of COVID-19 symptoms and higher oxygen requirement would be associated with occurrence of depression, anxiety, stress, and PTSD symptoms. Depressive symptoms were absent in 29%, mild in 16%, moderate in 27.8%, severe in 10.7% and extremely severe in 16.6% patients. Anxiety symptoms were absent in 43.8%, mild in 6.5%, moderate in 17.2%, severe in 5.3% and extremely severe in 27.2% patients. Stress symptoms were absent in 78.7%, mild in 4.7%, moderate in 7.1%, severe in 7.7%, and extremely severe in 1.8% patients. A total of 60.9% patients had no PTSD symptoms, 16% had undiagnosed symptoms, and 23.1% met the criteria for a PTSD diagnosis. All psychiatric symptoms were more pronounced in female patients, depression and anxiety symptoms were associated with prior chronic obstructive pulmonary disease. Only depressive symptoms were significantly associated with higher intensity of COVID-19 symptoms and higher oxygen requirement. Acutely ill hospitalized COVID-19 patients presented a high prevalence of emergent psychiatric sequelae, especially in females, and more severe COVID-19 influenced mostly the severity of depressive symptoms.