The article deals with the textual interpretability and deepness as an objective existing category typical of all textual genres and potentially enabling to classify texts according to their genre belongings and specificity. The proposed operational model of textual deepness is viewed as a universal scheme for textual analysis and characterizes textual deepness as gradual in its nature which discloses the ambiguity or unambiguity of text contents. The texts of different genres are characterized from the standpoint of the language peculiarities and possible formal elements assisting to undergo the procedure on interpretation. In accordance with the proposed operational model of textual deepness, texts are classified into mono-interpretable and multi-interpretable ones with a number of interpretive steps to be introduced while decoding and restoring the textual sense. The number of interpretive steps is predetermined by a genre with its distinctive features. The textual deepness is correlated with a number of genre specific features such as writer’s personalization or depersonalization, textual imperativeness and metaphoric richness as well as other prototypical features that organise texts of different genres. The restoration of textual sense is either full or probable. The operational model of deepness is an open system for the further levels to be established.