A Study of Lebrikizumab in Participants With Uncontrolled Asthma on Inhaled Corticosteroids and a Second Controller Medication

Inclusion Criteria: * Asthma diagnosis for greater than equal to (\>/=) 12 months at Visit 1 * Bronchodilator response at Visit 1, 2, or 3 * Pre-bronchodilator FEV1 of 40 percent (%) - 80% predicted at both Visits 2 and 3 * On ICS therapy at a total daily dose of 500-2000 microgram (mcg) of fluticasone propionate dry powder inhaler (DPI) or equivalent for \>/= 6 months prior to Visit 1 * On an eligible second controller medication (long-acting Beta-agonist \[LABA\], leukotriene receptor antagonist \[LTRA\], long-acting muscarinic antagonist \[LAMA\], or theophylline) for 6 months prior to Visit 1 * Uncontrolled asthma at Visit 1 and/or Visit 2, and at Visit 3 * Chest X-ray or computed tomography (CT) scan within 3 months prior to Visit 1 or chest X-ray during the screening period (prior to Visit 3) confirming the absence of other clinically significant lung disease * Demonstrated adherence with controller medication during the screening period Exclusion Criteria: * History of severe allergic reaction or anaphylactic reaction to a biologic agent or known hypersensitivity to any component of the lebrikizumab injection * Maintenance oral corticosteroid therapy within 3 months of Visit 1 * Treatment with systemic (oral, intravenous \[IV\], or intramuscular \[IM\]) corticosteroids within 4 weeks prior to Visit 1 or during the screening period * Treatment with intra-articular corticosteroids within 4 weeks prior to Visit 1 or during the screening period or anticipated need for intra-articular corticosteroids during the course of the study * Infection requiring hospital admission for \>/=24 hours or requiring treatment with IV or IM antibiotics within 4 weeks prior to Visit 1 or during screening; Upper or lower respiratory tract infection within 4 weeks prior to Visit 1 or during screening; Active parasitic infection or Listeria monocytogenes infection within 6 months prior to Visit 1 or during screening * Active tuberculosis requiring treatment within 12 months prior to Visit 1 * Known immunodeficiency, including, but not limited to, human immunodeficiency virus (HIV) infection * Evidence of acute or chronic hepatitis or known liver cirrhosis * History of interstitial lung disease, chronic obstructive pulmonary disease (COPD), or other clinically significant lung disease other than asthma * Known current malignancy or current evaluation for potential malignancy * Current smoker or former smoker with a history of greater than (\>) 10 pack-years * History of alcohol or drug abuse * Past and/or current use of any anti-interleukin (IL)-13 or anti-IL-4/IL-13 therapy, including lebrikizumab; use of other monoclonal antibody therapy, including omalizumab, within 6 months or 5 drug half-lives prior to Visit 1 (whichever is longer) or during screening * Initiation of or change in allergen immunotherapy within 3 months prior to Visit 1 or during screening