Abstract: An ordered universal algebra is an universal algebra equipped with an order relation such that all operations are monotone. In the case of ordered algebras there are two important types of equivalence relations: so called order-congruences and lax congruences. We say that an ordered algebra A has congruence extension property (CEP) if any order-congruence on any subalgebra B of A is a restriction of an order-congruence on A. Similarly one can define the lax congruence extension property (LEP). In our talk we discuss some basic results about these two properties.