This study is as an extension study of SD-004-0765, to assess the safety profile of long-term use of budesonide inhalation suspension in Japanese young children with bronchial asthma. Children completing study SD-004-0765 continued administration of budesonide inhalation suspension as judged by the investigator; the dose is adjusted as appropriate within the range of 0.25 to 1.0 mg per day administered once or twice daily, according to the symptoms.

Inclusion Criteria:

- 1. Clinical benefit from continued treatment with budesonide inhalation suspension was expected in patients with bronchial asthma participating in study SD-004-0765, as judged by the investigator(s) at the completion of that study (Visit 11, Week 24), and the patient's caregiver wished the continued treatment with budesonide inhalation suspension A written consent to participate in this study had been obtained from the patient's legal representative (a person who exercises parental authority for the patient, or if no one was applicable, a guardian: in principle, the patient's parent).

3. The patient was younger than 5 years old. Patients aged 5 years could be included in this study if no other effective treatment for the patient's bronchial asthma was available as judged by the investigator(s).

Exclusion Criteria:

-1. Concurrent severe diseases of liver, kidney, heart or other complications. 2. Contra-indications (eg, known or suspected allergy) to budesonide or excipients contained in the investigational product.

3. Other conditions, in which the investigator(s) judges patient's participation in this study inappropriate.