Bio-based terephthalic acid (bio-TPA), bio-based dimethyl terephthalate (bio-DMT), and bio-based polyesters, which are produced from a biomass containing a terpene or terpenoid, such as limonene are described, as well as the process of making these products. The bio-based polyesters include poly(alkylene terephthalate)s such as bio-based poly(ethylene terephthalate) (bio-PET), bio-based poly(trimethylene terephthalate) (bio-PTT), bio-based poly(butylene terephthalate) (bio-PBT), and bio-based poly(cyclohexylene dimethyl terephthalate) (bio-PCT).