In the present contribution, the potential for use of the ultrafine electrospun fiber mats of poly(3-hydroxybutyrate) (PHB) and poly(3-hydroxybutyrate-co-3-hydroxyvalerate) (PHBV) as scaffolding materials for skin and nerve regeneration was evaluated in vitro using mouse fibroblasts (L929) and Schwann cells (RT4-D6P2T) as reference cell lines. Comparison was made with PHB and PHBV films that were prepared by solution-casting technique. Indirect cytotoxicity assessment of the as-spun PHB and PHBV fiber mats with mouse fibroblasts (L929) and Schwann cells (RT4-D6P2T) indicated that the materials were acceptable to both types of cells. The attachment of L929 on all of the fibrous scaffolds was significantly better than that on both the film scaffolds and tissue-culture polystyrene plate (TCPS), while RT4-D6P2T appeared to attach on the flat surfaces of TCPS and the film scaffolds much better than on the rough surfaces of the fibrous scaffolds. For L929, all of the fibrous scaffolds were superior in supporting the cell proliferation to the film counterparts, but inferior to TCPS at days 3 and 5, while, for RT4-D6P2T, the rough surfaces of the fibrous scaffolds appeared to be very poor in supporting the cell proliferation when comparing with the smooth surfaces of TCPS and the film scaffolds. Scanning electron microscopy was also used to observe the behavior of both types of cells that were cultured on both the fibrous and the film scaffolds and glass substrate for 24 h.