vs
QUICK ANSWER
"Even though" is a conjunction which is often translated as "a pesar de que", and "despite" is a preposition which is often translated as "a pesar de". Learn more about the difference between "even though" and "despite" below.
even though( 
i
-
vihn
tho
)A conjunction is a word that connects words, phrases, clauses, or sentences (e.g., The cat and the dog slept.).
1. (general)
a. a pesar de que 
Even though the price of gas has decreased, many people still take the bus.A pesar de que está bajando el precio de la gasolina, mucha gente aún toma el autobús.
despite(
dih
-
spayt
)A preposition is a word that indicates the relationship between a noun and another word (e.g., He ran through the door.).
a. a pesar de 
She was the one who paid the rent, despite having a much lower income.Era ella quien pagaba el alquiler, a pesar de tener unos ingresos mucho más bajos.
b. pese a 
Obama signed sanctions against Venezuela despite threats from Maduro.Obama firmó sanciones contra Venezuela pese a las amenazas de Maduro.