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Homosexuality is prohibited and is punishable by "karet" (severance).
The prohibition of homosexuality
- A man may not lie sexually with another man. The punishment for doing so is karet and HaShem considers the act to be a "to'eva" (abomination).
- Sexual contact with another man is forbidden through the prohibition of arousing sexual thoughts. 
- See Torah View on Homosexuality by Rav Hershel Schachter, Rav Mordechai Willig, Rav Michael Rosensweig, and Rav Mayer Twersky.
- Vayikra 18:22
- Vayikra 18:22, Keritot 2a
- Nidah 13b