"Part of Your World" has garnered widespread acclaim from both film and music critics, who continue to praise the song constantly. Calling it a "musical bull's-eye", "The New York Times" film critic Janet Maslin wrote that "Any Broadway musical would be lucky to include a single number" as good as "Part of Your World". Scott Holleran of Box Office Mojo reviewed the song as a "triumphant tune", writing that listening to Benson "belt it out takes one's breath away." Holleran continued to write that the song "captures the buoyant idealism that drives this mythical tale and sets it sailing." Sputnikmusic opined that Benson sings the song both brilliantly and convincingly. Filmtracks.com described "Part of Your World" as a "gorgeous ballad" while describing Benson's performance as "tender enough to be believable ... while also accurately resonating at the necessary high ranges." The "New York Daily News"' Kathleen Carroll called Benson's voice "exceptionally lovely", while "Variety" wrote that the singer "exhibits a show-stopping set of pipes" during "Part of Your World". Writing for The Morton Report, Chaz Lipp agreed that Benson's performance is "positively charming".