Key Part A Inclusion Criteria:  Participants should have a protocol-defined rapidly progressive SOD1 mutation, confirmed by a central reader, or a SOD1 mutation that is approved for inclusion by an external mutation adjudication committee. Participants with plasma NfL level less than the protocol-defined threshold. Participants who are clinically presymptomatic for ALS (i.e., must not have clinically manifest ALS).  Key Part A Exclusion Criteria:  History or positive test result at screening for human immunodeficiency virus (HIV). The requirement for testing at Screening may be omitted if it is not permitted by local regulations. Current hepatitis C infection (defined as positive Hepatitis C Virus (HCV) antibody and detectable HCV RNA). Participants with positive HCV antibody and undetectable HCV Ribonucleic Acid (RNA) are eligible to participate in the study (United States Centers for Disease Control and Prevention). Current hepatitis B infection (defined as positive for hepatitis B surface antigen (HBsAg) and/or anti-Hepatitis B Core antibody (HBc)). Participants with immunity to hepatitis B from previous natural infection (defined as negative HBsAg, positive anti-HBc, and positive anti-hepatitis B surface antibody (HBs) or vaccination (defined as negative HBsAg, negative anti-HBc, and positive anti- HBs) are eligible to participate in the study. History of systemic hypersensitivity reaction to tofersen, the excipients contained in the formulation, and if appropriate, any diagnostic agents to be administered during the study. History of confounding neuromuscular or neurological disorder that is expected to have a progressive (i.e., worsening) course during the study, and/or is expected to be associated with elevations in NF, in the opinion of the Investigator. Presence of risk for increased or uncontrolled bleeding and/or risk of bleeding that if not managed optimally could place a participant at an increased risk for intraoperative or postoperative bleeding.  Significant cognitive impairment, clinical dementia, or unstable psychiatric illness, including psychosis, suicidal ideation, suicide attempt, or untreated major depression  ≤ 90 days of screening, which in the opinion of the Investigator would interfere with the study procedures.  Treatment with riluzole and/or edaravone. If the participant has been on riluzole and/or edaravone, the medication(s) must be discontinued for at least 5 half-lives prior to screening. Use of off-label treatments for ALS. Treatment with another investigational drug (including investigational drugs for ALS through compassionate use programs), biological agent, or device within 1 month or 5 half-lives of study agent, whichever is longer. Specifically, no prior treatment with small interfering RNA, stem cell therapy, or gene therapy is allowed. Anticipated need, in the opinion of the Investigator, for administration of any antiplatelet or anticoagulant medication (e.g., clopidogrel) that cannot be safely continued or held for an LP procedure, if necessary, according to local or institutional guidelines and/or Investigator determination. Current enrollment or a plan to enroll in any interventional clinical study in which an investigational treatment, biological agent, device, or approved therapy for investigational use. Participation in a noninterventional study focused on ALS natural history may be allowed at the discretion of the Investigator.  NOTE: Other protocol defined Inclusion/Exclusion criteria will apply.