A topological space X is called D-completely regular if it has an F,-base, i.e. a base ~ for the open sets such that for each BE ~ there exists a countable subcollection d of & satisfying B= U {X'x, AIAE~r Clearly, every perfect space (i.e. closed sets are G~'s) is D-completely regular, hence every semi-stratifiable space, every semimetrizable space, and every a-space. D-completely regular spaces were introduced in [1], where it was shown that they are precisely those topological spaces which can be embedded into products of developable spaces (see also [5, Theorem 3.5] and [2, Theorem 3]). In particular, every completely regular space is D-completely regular. However, there exist regular Tl-spaces which are not D-completely regular (e.g. see [6, Example 7.7]). Since completely regular spaces are uniformizable, it is tempting to ask whether D-complete regularity can be characterized in a similar way by means of some kind of generalized uniform structure. Our main result yields an affirmative answer to this question: As a suitable generalization of uniform spaces we introduce para-uni, form nearness spaces. We prove that a nearness space [7] is para-uniform if and only if it can be embedded into a product of nearness spaces which have a countable base (Theorem 1). From [3, Theorem 1] it follows that a topological nearness space is parauniform if and only if its induced topology is D-paracompact in the sense of C. M. Pareek [8] (Theorem 2). Finally we show that a topological space X is D-completely regular if and only if it is para-uniformizable, i.e. iffthere exists a para-uniform nearness structure on X which induces the topology of X (Theorem 3).