I oktober 2013 udpegede guvernør [[Gary Herbert]] Cox til ny viceguvernør efter at [[Greg Bell]] havde trukket sig tilbage fra posten;<ref name=deseret>{{cite news |first=Lisa Riley |last=Roche |url=http://www.deseretnews.com/article/865587957/Gov-Gary-Herbert-names-Rep-Spencer-Cox-as-Utahs-new-lieutenant-governor.html |title=Gov. Herbert names Rep. Spencer Cox new lieutenant governor |work=Deseret News |date=8. oktober 2013 |access-date=16. oktober 2013 |archive-url=https://web.archive.org/web/20181205061949/https://www.deseretnews.com/article/865587957/Gov-Gary-Herbert-names-Rep-Spencer-Cox-as-Utahs-new-lieutenant-governor.html |archive-date=5. december 2018 |url-status=live }}</ref> valget blev bekræftet enstemmigt af Utahs Senat.<ref>{{cite news |url=http://www.deseretnews.com/article/865588555/Shocked-Spencer-Cox-sworn-in-as-new-lieutenant-governor.html |title='Shocked' Spencer Cox sworn in as new lieutenant governor |first=Lisa Riley |last=Roche |work=Deseret News |date=16. oktober 2013 |access-date=16. oktober 2013 |archive-url=https://web.archive.org/web/20180405215115/https://www.deseretnews.com/article/865588555/Shocked-Spencer-Cox-sworn-in-as-new-lieutenant-governor.html |archive-date=5. april 2018 |url-status=live}}</ref> I 2016 blev Herbert og Cox genvalgt til henholdsvis guvernør og viceguvernør.<ref>{{Cite web|url=https://www.sltrib.com/news/politics/2019/05/14/lt-gov-spencer-cox/|title=Lt. Gov. Spencer Cox announces he is running for Utah governor, vows a 'different,' positive campaign|website=The Salt Lake Tribune|access-date=22. september 2019|archive-date=24. juli 2019 |archive-url=https://web.archive.org/web/20190724073542/https://www.sltrib.com/news/politics/2019/05/14/lt-gov-spencer-cox/|url-status=live}}</ref><ref>{{cite web |url=https://voteinfo.utah.gov/wp-content/uploads/sites/42/2020/11/2020-General-Election-Canvass.pdf |title=2020 General Election Canvass |work=Lieutenant Governor of Utah |date=23. november 2020 |access-date=23. november 2020 |archive-date=10. december 2020 |archive-url=https://web.archive.org/web/20201210061943/https://voteinfo.utah.gov/wp-content/uploads/sites/42/2020/11/2020-General-Election-Canvass.pdf |url-status=dead }}</ref> I 2020 efter Herbert besluttede at trække sig tilbage, stillede op Cox til at blive Det Republikanske Partis kandidat til guvernørposten.<ref>{{cite web |url=https://www.deseretnews.com/article/900070594/spencer-cox-2020-utah-governor-race.html |title=Here are the reasons Utah Lt. Gov. Spencer Cox says he's running for governor in 2020 |publisher=Deseret News |date=14. maj 2019 |access-date=15. december 2019 |archive-url=https://web.archive.org/web/20190716175239/https://www.deseretnews.com/article/900070594/spencer-cox-2020-utah-governor-race.html |archive-date=16. juli 2019 |url-status=live }}</ref> Ved [[primærvalg]]et besejrede den tidligere guvernør [[Jon Huntsman Jr.]], den tidligere formand for Republikanerne i Utah Thomas Wright og den tidligere formand for Repræsentanternes Hus i Utah Greg Hughes i primærvalget.<ref>{{Cite web |url=https://thehill.com/homenews/campaign/504873-cox-wins-gop-primary-to-replace-utah-gov-gary-herbert|title=Spencer Cox defeats Jon Huntsman in Utah GOP governor primary |first=Tal |last=Axelrod |date=6. juli 2020 |website=TheHill |access-date=6. juli 2020 |archive-date=7. juli 2020 |archive-url=https://web.archive.org/web/20200707011656/https://thehill.com/homenews/campaign/504873-cox-wins-gop-primary-to-replace-utah-gov-gary-herbert|url-status=live}}</ref><ref>{{cite web |url=https://voteinfo.utah.gov/wp-content/uploads/sites/42/2020/11/2020-General-Election-Canvass.pdf |title=2020 General Election Canvass |work=Lieutenant Governor of Utah |date=23. november 2020 |access-date=23. november 2020 |archive-date=10. december 2020 |archive-url=https://web.archive.org/web/20201210061943/https://voteinfo.utah.gov/wp-content/uploads/sites/42/2020/11/2020-General-Election-Canvass.pdf |url-status=dead }}</ref> Ved guvernørvalget besejrede han [[Demokratiske Parti (USA)|Demokraternes]] kandidat Chris Peterson.<ref>{{Cite web|url=https://www.deseret.com/utah/2020/11/3/21541344/election-results-governor-spencer-cox-replacing-gary-herbert-chris-peterson|title=Spencer Cox says he'll be governor for all of Utah as Peterson concedes race |first=Lisa Riley |last=Roche |date=3. november 2020 |website=Deseret News |access-date=5. november 2020 |archive-date=4. november 2020 |archive-url=https://web.archive.org/web/20201104170021/https://www.deseret.com/utah/2020/11/3/21541344/election-results-governor-spencer-cox-replacing-gary-herbert-chris-peterson|url-status=live}}</ref>
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