The survey study is divided into four clusters as follows: 1. summarises the subjects which draw attention of researchers interested in children‘s coping with anxieties in the Czech Republic and Slovakia, 2. analyses current conceptual and classification attempts to the given problem in foreign countries, first of all in the USA, 3. analyses 16 methodological issues which have to be taken into account in the assessment of children‘s coping with anxieties. The main three assessment methods (observation, interview, questionnaires) are discussed for both coping strategies and coping styles separately.