I nomenclature (from the IAU and from unofficial sources)

Italics indicate farside features.

-Van Langren- Iacobi, S. Promontorium (IAU: NW of Bode?)
Ian (craterlet in Palus Putredinis)
-Wilkins- Ibanez (Marinus K)
-IAU 2009- Ibn Bajja (south pole area)
Ibn Battuta
Ibn Firnas
-LTO- Ibn Hayyan (Zwicky N)
-Menzel, 1971- Ibn Yunus
Ibn-Rushd
-Menzel, 1971- Icarus
-NASA- Icarus / Icarus-Apollo (Apollo-15 site)
-Hewelcke- Ida, Mons (IAU: Agrippa and Godin)
-Schmidt- Ideler
-Menzel, 1971- Idel'son
-Van Langren- Ignatii, S. Promontorium (IAU: S of Sinus Concordiae)
Igor (Luna-17 site)
-RP 1097- Il'in
-Riccioli- Mare Imbrium (Basin)
Imbrium Sculpture (unofficial name)
Ina (D-shaped caldera at Lacus Felicitatis)
Ina IMP (the Irregular Mare Patches on the floor of Ina)
-Wilkins- Incognito, Mare (near Gauss)
-NASA- Index (Apollo-15 site)
-Hewelcke- Inferior, Sinus (IAU: S end of Mare Fecunditatis)
-Hewelcke- Inferiores, Paludes (ray NNE from Bessel)
-Menzel, 1971- Ingalls
-Wilkins- Ingalls (Riccioli C)
Mare Ingenii (Basin) (aka Object A)
-Maedler- Inghirami
Inghirami, Vallis
-Menzel, 1971- Innes
-Van Langren- INNOCENTII X (IAU: Ptolemaeus)
-Van Langren- Ioanni D. Sax. (IAU: Longomontanus)
-Hewelcke- Insula (IAU: Dawes and its nimbus)
Mare Insularum (Basin)
-NASA- Intruded Clast Boulder (Apollo-17 site)
-Menzel, 1971- Ioffe (aka Joffe)
-Riccioli- Iridum, Sinus
-NASA- Irwin's dunes (Apollo-15 site)
Isabel (craterlet near Delisle and Diophantus)
-Van Langren- ISABELLAE Reg. Hisp. (IAU: Manilius)
Isaev (in Gagarin)
-Van Langren- Isenburgi (IAU: Almanon)
-Riccioli- Isidorus
Isis (craterlet near Mons Argaeus)
-Hewelcke- Italia (regio) (bright areas W of Montes Apenninus)
-Riccioli- Iunctinus (Fra Mauro Sigma)
-Van Langren- Iustitiae, Terra (Rukl: 28/ 39/ 50/ 51)
Ivan (craterlet near Prinz)
-NASA- Ivy (Apollo-16 site)
-Menzel, 1971- Izsak