Kamadeva is alive now with body but he lived without body till his birth as Krishna's son Pradyumna. He regained his body after taking birth as Pradyumna during 28th Dwapara Yuga of this Manvantara. Kamadeva as Pradyumna married Rati
after killing Shambasura.
This is mentioned by Lord Shiva Himself in Chapter 19 Rudra Samhita (Parvati Khanda) of Shiva Mahapurana.
शिव उवाच
देवाश्च ऋषयः सर्वे मद्वचः शृणुतादरात्। मत्कोपेन च
यञ्जातं तत्तथा नान्यथा भवेत्॥३७॥
Siva said, “O Gods and Rsis, you listen to my words carefully with
respect. Whatever has happened out of my fury cannot be altered.
अनङ्गस्तावदेव स्यात्कामो रतिपतिः प्रभुः। यावच्चावतरेत्कृष्णो धरण्यां रुक्मिणीपतिः।।३८।।
The lord Kamadeva shall remain, without a body till lord Krsna- the husband of Rukmini, incarnates on earth.
द्वारकायां यदा स्थित्वा पुत्रानुत्पादयिष्यति। तदा कृष्णस्तु
रुक्मिण्यां काममुत्पादयिष्यति॥३९॥
Living in Dvaraka, when Krsna, shall produce the sons, then Rukmini
would give birth to Kama.
प्रद्युम्नं नाम तस्यैव भविष्यति न संशयः। जातमात्रं तु तं पुत्रं शम्बरः
स हरिष्यति॥४० ।।
He would surely be known by the name of Pradyumna. Soon after his
birth that son would be kidnapped by Sambhasura,
हृत्वा प्रास्य समुद्रे तं शम्बरो दानवोत्तमः। मृतं ज्ञात्वा वृथा मूढो
नगरं स्वं गमिष्यति।।४१।।
Šarinbhāra, the best of Danavas, after kidnapping Krsna's son and
foolishly taking him to be dead, would throw him in the ocean and then
return to his city.
तावच्च नगरं तस्य रते! स्थेयं यथासुखम्। तत्रैव स्वपतेः प्राप्तिः
प्रद्युम्नस्य भविष्यति।।४२।।
O Rati, you shall stay in the city till then, where you will get back
your husband.
तत्र कामो मिलित्वा तं हत्वा शम्बरमाहवे। भविष्यति सुखी देवाः प्रद्युम्नाख्यः स्वकामिनीम्।
Then Kámadeva, killing Sambhasura in the battle, shall achieve his wife Rati and get delighted. The gods too will rejoice.
तदीयं चैव यद्द्रव्यं नीत्वा स नगरं पुनः। गमिष्यति तया सार्द्धं देवाः
सत्यं वचो मम।।४४।।
O Gods, carrying the riches of Sambhasura and his wife, Pradyumna
shall return to his abode, My words are true.”
