Who were the kings of Israel?

1) The kings of the united Israelite kingdom were Saul, David, and Solomon.

2) The kingdom of Judah (Southern Kingdom):
Rehav'am (Rehoboam), Aviyah (Abijah), Asa, Yehoshaphat (Jehoshaphat), Yehoram (Jehoram), Ahaziah, queen Athaliah, Yehoash (Jehoash), Amatziah (Amaziah), Uzziah, Yotam (Jotham), Ahaz, Hizkiah (Hezekiah), Menasheh (Manasseh), Amon, Yoshiah (Josiah), Yehoahaz (Jehoahaz), Yehoyakim (Jehoiakim), Yehoyachin (Jehoiachin, a.k.a. Jeconiah), Tzidkiah (Zedekiah).

3) The kingdom of Israel (Northern Kingdom; Samaria):
Yerav'am (Jeroboam), Nadav (Nadab), Baasha, Elah, Zimri, Omri, Ah'av (Ahab), Ahaziah, Yoram (Joram), Yehu (Jehu), Yehoahaz (Jehoahaz), Yehoash (Jehoash), Yerav'am (Jeroboam II), Zachariah, Shallum, Menachem, Pekahiah, Pekah, Hoshea.

See also:
First Dynasty (Royal House of Israel): 1021 B.C.E. - 931 B.C.E.

King Saul (Shaul ben Qysh) : 1021 - 1000
King Ishbaal (Ishba'al ben Shaul) : 1007 - 1005
King David (Dawid ben Yishai) : 1005 - 970
King Solomon (Shelomoh ben Dawid) : 970 - 931

Split Kingdoms Dynasty (Israel): 931 B.C.E. - 723 B.C.E.

King Jeroboam (Yarobh'am ben Shelomoh) : 931 - 910
King Nadab (Nadab ben Yarobh'am) : 910 - 909 (assassinated by Ba'asha)
King Baasha (Ba'asha ben Ahiyah) : 909 - 886
King Elah (Ela ben Ba'ash) : 886 - 885 (assassinated by Zimri)
King Zimri (Zimri ben ??) : 885 - 885 (only ruled for 7 days, suicide)
King Omri (Omriyya ben ??) : 885 - 874
King Ahab (Ah'av ben Omriyya) : 874 - 853
King Ahaziah ('Ahazyahu ben Ah'av) : 853 - 852 (died of sickness)
King Jehoram (Yehoram ben Ah'av) : 852 - 841 (assassinated by Jehu)
King Jehu (Yehu ben Yehoshafat) : 841 - 814
King Jehoahaz (Yehu'ahaz ben Yehu) : 814 - 798
King Jehoash (Yehoash ben Yehu'ahaz) : 798 - 782
King Jereboam II (Yarobh'am ben Yehoash) :782 - 753
King Zechariah (Zekharya ben Yarobh'am) : 753 - 752 (assassinated by Shallum)
King Shallum (Shallum ben Yav'ash) : 752 (condemned to death by Menahem)
King Menahem (Menahem ben Gadi) : 752 - 742
King Pekahiah (Pek'ahiya ben Menahem) : 742 - 740 (assassinated by Pek'ah)
King Pekah (Pek'ah ben ??) : 740 - 732 (assassinated by Hoshea)
King Hoshea (Hoshea ben Ela) : 732 - 723

--Israel is held under Babylonian Captivity : 609 B.C.E. - 515 B.C.E.
--Israel returns to Judea under Persian rule : 515 B.C.E. - 322 B.C.E.
--Israel becomes Hellenized under Alexander the Great : 322 B.C.E. - 140 B.C.E.

Hasmonean Dynasty: 140 B.C.E. - 37 B.C.E.

Nasi Simon (Simun Thassi Maccabeus) : 142 - 135 (assassinated by Ptolemy)
Nasi John (Yohanan Hycanus Maccabeus) : 134 - 104
King Aristobulus I (Aristobulus Maccabeus) : 104 - 103 (died of illness)
King Yannai (Alexander Jannaeus Maccabeus) : 103 - 76
Queen Salome Alexandra (Alexandra Shlom Tzion) : 76 - 67
King Hyrcanus II (Hyrcanus Maccabeus II) : 67 - 66 (usurped by Aristobulus II)
King Aristobulus II (Aristobulus Maccabeus II) : 66 - 63 (civil war ended)
King Hyrcanus II (Hyrcanus Maccabeus II) : 63 - 40 (usurped by Antigonus)
King Antigonus (Antigonus Matthias Maccabeus II) : 40 - 37

Herodian Dynasty: 37 B.C.E. - 97 A.D.

King Herod I (Herod the Great) : 37 - 4
King Herod II (Herod Archelaus) : 4 B.C. - 6 A.D.
--Israel held under rule of the Roman Prefects : 6 - 41
King Agrippa I (Marcus Julius "Herod" Agrippa I) : 41 - 44 (died abruptly)
King Agrippa II (Marcus Julius Agrippa II) : 44 - 53
--Israel held under rule of the Roman Produrators : 44 - 70
--Israel held under rule of the Roman Legates : 70 - 133