Nucleosomes are known to play dynamic role in eukaryotic gene expression. Many inducible genes contain stably positioned nucleosomes in their promoter region. Promoter nucleosomes often hinder access of transcription factors to their regulatory sites on DNA. Accessibility of such regulatory sites by transcription factors requires removal of promoter nucleosomes during transcription activation. Hence, the role of promoter nucleosomes is generally thought to be repressive in gene expression. However, the role of promoter nucleosomes that do not occlude any transcription factor binding sites remains unclear. In present study we varied the stability of non-occluding nucleosome positioned between transcription factor binding site and TATA box region in an inducible yeast promoter. We measured nucleosome stability of promoter nucleosomes by performing in-vivo nucleosome occupancy assay (ChIP), and measured fluorescent protein intensities of downstream gene to quantify gene expression level. We found non-monotonic relationship between nucleosome occupancy and gene expression level, and showed that nucleosome with relatively low stability can lower gene expression level significantly. We present a quantitative model based on the mechanism of nucleosome removal to explain this unexpected effect of a non-occluding nucleosome on gene expression.