According to Royal News Blog:
If a referendum were to be held, the poll found 49% of people would prefer to have a monarchy with Felipe as king while 36% would support a republic.
Republican sentiment remains strong in Spain, which only restored the monarchy in 1975 after the death of General Franco.
The prime minister, Mariano Rajoy, has rejected calls for a referendum on the monarchy. He argues that Spain’s 1978 constitution, which established a parliamentary democracy with the king as a largely ceremonial head of state, was supported by a great majority in a referendum at the time.
To read the entire article in Royal News Blog, please click here.

President Reagan and Mrs. Reagan greet King Juan Carlos I and Queen Sophia of Spain for the State Dinner, October 13th, 1981.