Classical swine fever virus (CSFV) is one of the most important pathogens affecting swine. After infection with a moderate virulence strain at 8 hours after birth, CSFV is able to induce viral persistence. These animals may appear clinically healthy or showed unspecific clinical signs despite the permanent viremia and high viral shedding, in absence of immune response to the virus. Given the role played by this infection in disease control, we aimed to evaluate the capacity of CSFV to induce postnatal persistent infection at 3 weeks after birth. Nine pigs were CSFV infected and sampled weekly during 6 weeks and viral, clinical, pathological and immunological tests were carried out. Also, the CD4/CD8 ratio was calculated with the purpose to relate this marker with the CSFV persistent infection. The IFN‐α response was detected mainly 1 week after infection, being similar in all the infected animals. However, 44.4% of animals were CSFV persistently infected, 33.3% died and 22.2% developed specific antibody response. Interestingly, in persistently infected pigs, the T‐CD8 population was increased, the T‐CD4 subset was decreased and lower CD4/CD8 ratios were detected. This is the first report of CSFV capacity to confer postnatal persistent infection in pigs infected at 3 weeks after birth, an age in which the weaning could be carried out in some swine production systems. This type of infected animals shed high amounts of virus and are difficult to evaluate from the clinical and anatomopathological point of view. Therefore, the detection of this type of infection and its elimination in endemic areas will be relevant for global CSF eradication. Finally, the low CD4/CD8 ratios found in persistently infected animals may be implicated in maintaining high CSFV replication during persistence and further studies will be performed to decipher the role of these cells in CSFV immunopathogenesis.