2-1: A fine Kroos strike sees Madrid overcome Celta
Morata got the Whites' first goal to help ensure they head into the international break with two wins from as many games.
The forward came on in the 77th minute in the win against Celta.
The club president gave the Olympic double medal winner a shirt signed by the players.
The Whites beat Sevilla 3-2 in extra time with goals from Asensio, Ramos and Carvajal.
A minute's silence was held at the Santiago Bernabéu prior to the game against Celta and the Real Madrid players will wear black armbands.
"It's a great honour after an incredible season", said the Portuguese forward, who claimed the award for the second time in his career.
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