β-hinokitiol derivatives and application thereof in preparation of animal antibacterial agents and antibacterial growth promoters used in feed. β-hinokitiol derivatives, having a structural formula as shown in formula (I): wherein, R is n-propyl, n-pentyl, benzyl, sec-butyl, ethyl, n-butyl, p-chlorobenzyl, p-fluorobenzyl, n-octyl, 1-fluoropropyl or n-tetradecyl. The compounds as shown in formula I show low toxicity or non-toxicity to poultry, are safer and have strong growth promotion properties, and therefore are suitable to be used as growth promoters in feed. The compounds have a very good application prospect in cultivation industry.