The Centre for Research on Environment, Society & Health analysed responses from 21,294 urban residents in 34 European nations.
Researchers charted mental well-being and economic status against ease of access to neighbourhood facilities. Only access to green or recreational space had a link to narrower inequalities in well-being. The paper was published in the American Journal of Preventive Medicine.
Study leader Professor Rich Mitchell of the University of Glasgow said: "Research should explore whether these environments can help stop the wealth gap becoming a health gap."