Patient satisfaction is a crucial aspect in the evaluation of the quality of health care provided by health services and units, especially in patients that require physical rehabilitation. This study aims to design and analyze the factor structure and internal consistency reliability of the Hospital Physical Therapy Perceived Satisfaction Questionnaire (H-PTPS) measuring the level of physical therapy patient satisfaction in hospital rehabilitation services. This study has a multicenter cross-sectional survey design. This study used the structural validity and internal consistency domains from COSMIN (consensus-based standards for the selection of health status measurement instruments) guideline. The H-PTPS questionnaire consists of 20 closed questions. A sample of 384 adult patients from physical therapy units from three Spanish public hospitals completed this questionnaire. A factor structure and internal consistency reliability analysis were performed. The factor analysis including the 20 items of the H-PTPS showed an adequacy index of 0.922 according to the Kaiser–Meyer–Olkin measure and the Barlett test allowed us to reject the null hypothesis (p < 0.001). In the rotated component matrix, four specific factors were obtained, explaining 66.75% of the accumulated variance. All factors present satisfactory internal reliability, achieving Cronbach’s alpha indices and Omega coefficients higher than 0.74. The H-PTPS questionnaire has shown a four-factor solution with satisfactory reliability evaluating the satisfaction of Spanish patients treated in physical therapy units in the hospital rehabilitation services.