Śrī Dakṣiṇakālī Mahā Mantraḥ || श्री दक्षिणकाली महा मन्त्रः॥

1. Ṛṣyādi nyāsaḥ ऋष्यादि न्यासः

अस्य श्री दक्षिणकाली महामन्त्रस्य। भैरव ऋषिः। उष्णिक् छन्दः। दक्षिणकालिका देवता॥

asya śrī dakṣiṇakālī mahāmantrasya | bhairava ṛṣiḥ । (open the right palm and touch the top of the forehead | uṣṇik chandaḥ (right palm on the mouth) । dakṣiṇakālikā devatā || (right palm on the heart chakra)

क्रीं बीजम्। हूं शक्तिः। क्रीं कीलकम्॥
krīṁ bījam | hūṁ śaktiḥ | krīṁ kīlakam ||

(bījaṁ - touch right shoulder with right hand; śaktiḥ - touch left shoulder with right hand; kīlakam – touch centre of the chest. Only tip of the fingers to be used.)

श्री दक्षिणकालि देवी दर्शन भाषण सिद्ध्यर्थे श्री दक्षिणकाली महा मन्त्र जपे विनियोगः॥

śrī dakṣiṇakāli devi darśana bhāṣaṇa siddhyarthe śrī dakṣiṇakālī mahā mantra jape viniyogaḥ || (open both the palms and run them over all parts of the body; from head to feet)

2. Karanyāsaḥ करन्यासः

क्रां - अङ्गुष्ठाभ्याम् नमः। krāṁ- aṅguṣṭhābhyām namaḥ| (use both the index fingers and run them on both the thumbs)
क्रीं - तर्जनीभ्यां नमः। krīṁ - tarjanībhyāṁ namaḥ | (use both the thumbs and run them on both the index fingers)
क्रूं - मध्यमाभ्यां नमः । krūṁ - madhyamābhyāṁ namaḥ| (both the thumbs on the middle fingers)
क्रैं - अनामिकाभ्यां नमः। kraiṁ - anāmikābhyāṁ namaḥ| (both the thumbs on the ring fingers)
क्रौं - कनिष्ठिकाभ्यां नमः। krauṁ- kaniṣṭhīkābhyāṁ namaḥ| (both the thumbs on the little fingers)
क्रः - करतलकरपृष्ठाभ्यां नमः। kraḥ - karatalakarapṛṣṭhābhyāṁ namaḥ| (open both the palms; run the opened palms of the right hand on the front and back sides of the left palm and repeat the same for the other palm)

3. Hrdayādi nyāsaḥ ह्र्दयादि न्यासः

क्रां - ह्र्दयाय नमः। krāṁ - hrdayāya namaḥ| (open index, middle and ring fingers of the right hand and place them on the heart chakra)
क्रीं - शिरसे स्वाहा। krīṁ - śirase svāhā| (open middle and ring fingers of the right hand and touch the top of the forehead)
क्रूं - शिखायै वषट्। krūṁ - śikhāyai vaṣaṭ| (open the right thumb and touch the back of the head. This is the point where tuft is kept)
क्रैं - कवचाय हुं। kraiṁ - kavacāya huṁ| (cross both the hands and run the fully opened palms from shoulders to finger tips)
क्रौं - नेत्रत्रयाय वौषट्। krauṁ - netratrayāya vauṣaṭ| (open the index, middle and ring fingers of the right hand; touch both the eyes using index and ring fingers and touch the point between the two eyebrows (ājñā cakra) with the middle finger.
क्रः - अस्त्राय फट्॥ kraḥ - astrāya phaṭ|| (open up the left palm and strike it three times with index and middle fingers of the right hand)
भूर्भुवस्सुवरोमिति दिग्बन्धः॥ bhūrbhuvassuvaromiti digbandhaḥ|| (by using right hand thumb and middle fingers make rattle clockwise around the head)

4. Dhyānam ध्यानम्

सद्यशिछन्नशिरः कृपाणमभयं हस्तैर्वरं बिभ्रतीं घोरास्यां शिरसां स्रजा मुरुचिरामुन्मुक्त केशावलिम्।
सृक्कासृक्प्रवहां शमशाननिलयां श्रुत्योः शवालंकृतिं श्यामाङ्गीं कृतमेखलां शवकरैर्देवीं भजे कालिकाम्॥

sadyaśichannaśiraḥ kṛpāṇamabhayaṁ hastairvaraṁ bibhratīṁ ghorāsyāṁ śirasāṁ srajā murucirāmunmukta keśāvalim |
sṛkkāsṛkpravahāṁ śamaśānanilayāṁ śrutyoḥ śavālaṁkṛtiṁ śyāmāṅgīṁ kṛtamekhalāṁ śavakarairdevīṁ bhaje kālikām ||

(Meaning: Kāli Devi holds in Her lower left hand, a freshly severed head; with Her upper hand She shows abhaya mudra (removal of fear). She shows with Her lower left hand, varada mudra (granting boons); in the upper right hand, She holds a sword. She is wearing a garland of human skulls and Her hair is untidy. From Her lips, blood is oozing out. She dwells in crematoriums. Her ears have two infant corpses as ear studs. She is dark in complexion. She wears a girdle made up of hands of corpses.)

5. Pañcapūjā पञ्चपूजा

लं - पृथिव्यात्मिकायै गन्धं समर्पयामि।
हं - आकाशात्मिकायै पुष्पैः - पूजयामि।
यं - वाय्वात्मिकायै धूपमाघ्रापयामि।
रं - अग्न्यात्मिकायै दीपं दर्शयामि।
वं - अमृतात्मिकायै अमृतं महानैवेद्यं निवेदयामि।
सं - सर्वात्मिकायै सर्वोपचार पूजाम् समर्पयामि॥
laṁ - pṛthivyātmikāyai gandhaṁ samarpayāmi| (use both the index fingers and run them on both the thumbs)
haṁ - ākāśātmikāyai puṣpaiḥ pūjayāmi| (use both the thumbs and run them on both the index fingers)
yaṁ - vāyvātmikāyai dhūpamāghrāpayāmi| (both the thumbs on the middle fingers)
raṁ - agnyātmikāyai dīpaṁ darśayāmi | (both the thumbs on the ring fingers)
vaṁ - amṛtātmikāyai amṛtaṁ mahānaivedyaṁ nivedayāmi | (both the thumbs on the little fingers)
saṁ - sarvātmikāyai sarvopacāra pūjām samarpayāmi|| (open both the palms and join together as if offering something to Her)

6. श्री दक्षिणकाली महा मन्त्रः॥ Śrī Dakṣiṇakālī Mahā Mantraḥ ||

ॐ क्रीं क्रीं क्रीं ह्रीं ह्रीं हूं हूं दक्षिणे कालिके क्रीं क्रीं क्रीं ह्रीं ह्रीं हूं हूं स्वाहा॥
om krīṁ krīṁ krīṁ hrīṁ hrīṁ hūṁ hūṁ dakṣiṇe kālike krīṁ krīṁ krīṁ hrīṁ hrīṁ hūṁ hūṁ svāhā ||
(Explanation for this mantra: There are three krīṁ-s, which represent creation, sustenance and dissolution. After this, there are two hrīṁ-s, which represent process of creation and process of sustenance. Then there are two hūṁ-s, which provide knowledge (towards emancipation). Name of the Devi mentioned here ensures closeness to Devi. Name of the Devi is encased (sampuṭīkaraṇa) with these bījākṣara-s, which makes this mantra powerful.)

7. Dhyānam ध्यानम्

मद्यशिछन्नशिरः कृपाणमभयं हस्तैर्वरं बिभ्रतीं घोरास्यां शिरसां स्रजा मुरुचिरामुन्मुक्त केशावलिम्।
सृक्कासृक्प्रवहां शमशाननिलयां श्रुत्योः शवालंकृतिं श्यामाङ्गीं कृतमेखलां शवकरैर्देवीं भजे कालिकाम्॥
madyaśichannaśiraḥ kṛpāṇamabhayaṁ hastairvaraṁ bibhratīṁ ghorāsyāṁ śirasāṁ srajā murucirāmunmukta keśāvalim |
sṛkkāsṛkpravahāṁ śamaśānanilayāṁ śrutyoḥ śavālaṁkṛtiṁ śyāmāṅgīṁ kṛtamekhalāṁ śavakarairdevīṁ bhaje kālikām ||

8. Pañcapūjā पञ्चपूजा

लं - पृथिव्यात्मिकायै गन्धं समर्पयामि।
हं - आकाशात्मिकायै पुष्पैः - पूजयामि।
यं - वाय्वात्मिकायै धूपमाघ्रापयामि।
रं - अग्न्यात्मिकायै दीपं दर्शयामि।
वं - अमृतात्मिकायै अमृतं महानैवेद्यं निवेदयामि।
सं - सर्वात्मिकायै सर्वोपचार पूजाम् समर्पयामि॥
laṁ - pṛthivyātmikāyai gandhaṁ samarpayāmi|
haṁ - ākāśātmikāyai puṣpaiḥ pūjayāmi|
yaṁ - vāyvātmikāyai dhūpamāghrāpayāmi|
raṁ - agnyātmikāyai dīpaṁ darśayāmi |
vaṁ - amṛtātmikāyai amṛtaṁ mahānaivedyaṁ nivedayāmi |
saṁ - sarvātmikāyai sarvopacāra pūjām samarpayāmi||

9. Samarpaṇam समर्पनम्

guhyāti guhya goptrī tvaṁ gṛhāṇāsmat-kṛtaṁ japam|
siddhirbhavatu me devi tvatprasādānmayi stirā||
गुह्याति गुह्य गोप्त्री त्वं गृहाणास्मत्-कृतं जपम्।
सिद्धिर्भवतु मे देवि त्वत्प्रसादान्मयि स्तिरा॥
(Meaning: You sustain the secret of all secrets. Please accept this japa performed by me and bestow Your perpetual Grace on me.)

Additional information:

1. The number of prescribed count is 100,000 for puraścaraṇa.
2. There is curse removal verse for this mantra, which is given below. I am not sure whether this verse is correct. I also do not know whether this verse is only a guide to derive the actual Dakshina kali curse removal mantra. Please read this link and the comments therein, before using this curse removal mantra.

DAKṢIṆAKĀLĪ ŚĀPAVIMOCANA MANTRA

कालीं कूर्चं परं नाम दक्षिणे दक्षिणे कालिके तता ।

वशिष्ठ मन्त्रं प्रोच्च्यार्थ मोचय दयमीश्वरि

कालीं कूर्चं परे निरमेशास्याश्चापहारिणी ॥

कालीं भीमं ठटं भद्रकाली भीमं शिवस्यहि

शापं मोचय युग्मापो विध्येयं चापहारिणी ॥ 

kālīṁ kūrcaṁ paraṁ nāma dakṣiṇe dakṣiṇe kālike tatā ।

vaśiṣṭha mantraṁ proccyārtha mocaya dayamīśvari

kālīṁ kūrcaṁ pare nirameśāsyāścāpahāriṇī ॥

kālīṁ bhīmaṁ ṭhaṭaṁ bhadrakālī bhīmaṁ śivasyahi

śāpaṁ mocaya yugmāpo vidhyeyaṁ cāpahāriṇī ॥  

Further Readings:

Dasa Mahavidya 1 - Kali

Kāmakalākālī Trilokya Mohana Kavacham

Navakali Mantras – Nine Kali Mantras

Kamakalakali Dhyana Verses