Elrond weds Celebrían (109 T.A.) - "She (Galadriel) committed Lórinand to Amroth, and passing again through Moria with Celebrían (her daughter) she came to Imladris, seeking Celeborn.  There (it seems) she found him, and there they dwelt together for a long time; and it was then that Elrond first saw Celebrían, and loved her, though he said nothing of it." ~Unfinished Tales (The History of Galadriel and Celeborn)

 

Sometime later the two were married.

 

"Celeborn and Galadriel passed over the mountains to Imladris, and there dwelt for many years; for Elrond was their kinsman, since he had early in the Third Age [in the year 109, according to the Tale of Years] wedded their daughter Celebrían." ~Unfinished Tales (The History of Galadriel and Celeborn)