Abstract Stimulated by the recent discovery of PSR J1833–1034 in SNR G21.5–0.9 and its age parameters presented by two groups of discovery, we demonstrate that the PSR J1833–1034 was born 2053 years ago from a supernova explosion, the BC 48 guest star observed in the Western Han (Early Han) Dynasty by ancient Chinese. Based on a detailed analysis of the Chinese ancient record of the BC 48 guest star and the new detected physical parameters of PSR J1833–1034, agreements on the visual position, age and distance between PSR J1833–1034 and the BC 48 guest star are obtained. The initial period P0 of PSR J1833–1034 is now derived from its historical and current observed data without any other extra assumption on P0 itself, except that the factor P is a constant in its evolution until now.
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