Polymer composites reinforced with natural bast fibers have attracted great attention in the past few decades due to increasing environmental awareness and various advantages of these materials in terms of mechanical properties, sustainability, renewability, and biodegradability. In this study, non-interlaced multiaxial jute fabric/epoxy composites were produced. First, unidirectional (UD) jute fabrics were produced using a semi-automatic dobby loom. Then these UD fabrics were stacked one on top of the other at different orientation angles to the material direction. Four different stacking sequences were used such as [0°/0°/0°/0°], [0°/90°/90°/0°], [0°/+45°/−45°/0°], and [0°/+30°/−30°/0°]. Basket 2/2 weave woven fabric composites were also produced for comparison purposes. Tensile and flexural properties of these composites were characterized. The results showed that all the non-interlaced structures showed higher tensile strength, tensile modulus, flexural strength and flexural modulus when compared to those of the basket weave structure and neat epoxy. Tensile strength and modulus increased as the angle that jute yarns make with the material direction decreases. However, a significant difference between the flexural strength and moduli of the non-interlaced structures, that is, [0°/0°/0°/0°], [0°/+30°/−30°/0°], [0°/+45°/−45°/0°], [0°/90°/90°/0°] was not detected. This was attributed to the fact that the flexural properties of the composite samples were determined by the yarn alignment in top and bottom layers without regard to the middle layers which contained oriented fibers in various angles.