The positive behaviors that urban forest parks encourage in urban residents (such as recommendations, repeat visits, etc.) are important considerations in the planning and construction of such forest parks. Recreators’ environmental preferences and perceived satisfaction with urban forest parks are responses to individuals’ perceptions and attitudes toward the external environment. Clarifying the interactive relationship between the two is of great significance to improving positive behavioral intentions in urban forest parks. In this paper, the concept of the urban forest park recreational environment is proposed, and in this concept, the three dimensions of the spatial physical environmental preference, regional cultural characteristics, and service experience that the urban forest park recreational environment has on tourists’ perception are separated out. A model of the structural relationship between park environment perception, perceived satisfaction, and post-tour behavioral intention was tested using Tongzhou Grand Canal Forest Park as an example. The psychological path of tourists’ behavioral intention after visiting the urban forest park can be divided into two categories: the direct influencing path is “urban forest park recreation environment → post-tour behavioral intention”; the indirect influencing path is “urban forest park recreation environment → perceived satisfaction → behavioral intention after the trip”. This shows that tourists’ preference for the urban forest park recreation environment will promote the generation of perceived satisfaction and then stimulate in-depth comprehensive experience evaluation after visiting. By enhancing tourists’ experience of the urban forest park recreational environment through their environmental preference perception and improving tourists’ perceived satisfaction with the urban forest park recreational environment, urban forest parks can improve tourists’ positive behavioral intentions. Clarifying these complex psychological processes provides a new perspective for understanding people’s cognition of urban forest parks, the physiological and psychological benefits produced, and the resulting behavioral tendencies. At the same time, it also provides a new perspective for the planning and design of similar types of urban forest parks. It provides a certain reference value for forest park management.