Exhibit
15.1





Consent of Independent Registered
Public Accounting Firm



We consent
to the incorporation by reference in the registration statement (No. 333-213733) on Form S-8 of Advanced Accelerator Applications
S.A of our reports dated March 29, 2017, with respect to the consolidated statements of financial position of Advanced Accelerator
Applications S.A. and its subsidiaries as of December 31, 2016, 2015 and 2014, and the related consolidated statements of
income, comprehensive income, changes in equity and cash flows for each of the years in the three year period ended December 31,
2016, and the effectiveness of internal control over financial reporting as of December 31, 2016, which reports appear in
the December 31, 2016 annual report on Form 20-F of Advanced Accelerator Applications S.A. and to the references to our firm
under the headings “Presentation of Financial and Other Information – Financial Statements”, and “Key
Information – Selected Financial Data” in such annual report.



Our report dated March 29, 2017
on the effectiveness of internal control over financial reporting as of December 31, 2016:



| | - | expresses our opinion that Advanced
                                         Accelerator Applications S.A. did not maintain effective internal control over financial
                                         reporting as of December 31, 2016 because of the effect of the material weaknesses related
                                         to the controls over significant unusual transactions and calculation of significant
                                         estimates, the controls over the calculation of contingent liabilities and the controls
                                         over the preparation and review of the cash flow statement on the achievement of the
                                         objectives of the control criteria; and
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| | - | contains explanatory paragraphs
                                         that state that (i) we do not express an opinion or any other form of assurance on management’s
                                         statements referring to the remediation efforts to address the aforementioned material
                                         weaknesses in internal control over financial reporting and (ii) Advanced Accelerator
                                         Applications S.A acquired IDB during 2016, and management excluded from its assessment
                                         of the effectiveness of Advanced Accelerator Applications S.A‘s internal control
                                         over financial reporting as of December 31, 2016, IDB’s internal control over financial
                                         reporting associated with total assets of €5.7 million, total revenue of €7.9
                                         million and total net income of €0.9 million included in the consolidated financial
                                         statements of Advanced Accelerator Applications S.A as of and for the year ended December
                                         31, 2016. Our audit of internal control over financial reporting of Advanced Accelerator
                                         Applications S.A also excluded an evaluation of the internal control over financial reporting
                                         of IDB.
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| | Lyon, March 29, 2017   
| | -----------------------
| |                        
| | KPMG Audit             
| | Department of KPMG S.A.
| |                        
| | /s/ Stéphane Devin     
| |                        
| | Stéphane Devin         
| | Partner