Tahanun is not said on: Rosh Hodesh, Hanukka, Tu BiShvat, the 14th and 15th of Adar I, Purim and Shushan Purim, in the month of Nisan, Yom HaAtzma'ut, the 14th of Iyar (Pesah Sheni), Lag BaOmer, Yom Yerushalayim, from Rosh Hodesh Sivan through the day after Shavuot (in Israel through 12th of Sivan), Tisha B'Av, Tu B'Av, Erev Rosh HaShana, and from Erev Yom Kippur through the day after Simhat Torah (in Israel through Rosh Hodesh Marheshvan).
Tahanun is also not said: on the morning of a Brit Mila, either where the brit will take place or where the father, Sandak or Mohel are present; if a groom is present (and some say a bride) on the day of his wedding or during the week of Sheva Berakhot; in a house of mourning.
Hebrew
אֱלֹהֵינוּ וֵאלֹהֵי אֲבוֹתֵינוּ, תָּבוֹא לְפָנֶיךָ תְּפִלָּתֵנוּ, וְאַל תִּתְעַלַּם מִתְּחִנָּתֵנוּ, שֶׁאֵין
אָנוּ עַזֵּי פָנִים וּקְשֵׁי עֹרֶף לוֹמַר לְפָנֶיךָ, יְהוָה אֱלֹהֵינוּ וֵאלֹהֵי אֲבוֹתֵינוּ, צַדִּיקִים
אֲנַחְנוּ וְלֹא חָטָאנוּ, אֲבָל אֲנַחְנוּ וַאֲבוֹתֵינוּ חָטָאנוּ.
Israeli
Eloheinu veilohei avoteinu, tavo lefanecha t'filatenu, ve-al titalam mitechinatenu, she-ein
anu azei fanim ukshei oref lomar lefanecha, Adonai Eloheinu veilohei avoteinu, tzadikim
anachnu velo chatanu, aval anachnu va-avoteinu chatanu.
At each expression, strike the chest on the left side:
Hebrew
אָשַׁמְנוּ, בָּגַדְנוּ, גָּזַלְנוּ, דִּבַּרְנוּ דֹּפִי, הֶעֱוִינוּ, וְהִרְשַׁעְנוּ, זַדְנוּ, חָמַסְנוּ, טָפַלְנוּ שֶׁקֶר,
יָעַצְנוּ רָע, כִּזַּבְנוּ, לַצְנוּ, מָרַדְנוּ, נִאַצְנוּ, סָרַרְנוּ, עָוִינוּ, פָּשַׁעְנוּ, צָרַרְנוּ, קִשִּׁינוּ עֹרֶף,
רָשַׁעְנוּ, שִׁחַתְנוּ, תִּעַבְנוּ, תָּעִינוּ, תִּעְתָּעְנוּ.
Israeli
ashamnu, bagadnu, gazalnu, dibarnu dofi, he-evinu, vehirshanu, zadnu, chamasnu, tafalnu sheker,
ya-atznu ra, kizavnu, latznu, maradnu, ni-atznu, sararnu, avinu, pashanu, tzararnu, kishinu oref,
rashanu, shichatnu, ti-avnu, ta-inu, titanu.
Neh. 9
Hebrew
סָרְנוּ מִמִּצְוֹתֶיךָ וּמִמִּשְׁפָּטֶיךָ הַטּוֹבִים, וְלֹא שָׁוָה לָנוּ. וְאַתָּה צַדִּיק עַל כָּל־הַבָּא
עָלֵינוּ, כִּי־אֱמֶת עָשִׂיתָ, וַאֲנַחְנוּ הִרְשָׁעְנוּ:
Israeli
sarenu mimitzvotecha umimishpatecha hatovim, velo shavah lanu. ve-atah tzadik al kol-haba
aleinu, ki-emet asita, va-anachnu hirshanu:
When praying without a minyan continue with Lowering the Head on page 144.