A connection system for subsea connection of a subsea umbilical to a subsea appliance, the system comprising a termination box fixed to the umbilical; a first coupling part mounted to the termination box; a second coupling part; a connection unit, to which the termination box is slidably mounted; and a landing unit, which has a fixed position in relation to the second coupling part. Guide members are provided on the connection unit and the landing unit for guiding the connection unit into a correct position in relation to the landing unit when the connection unit is lowered downwards into contact with the landing unit. The termination box is displaceable axially forwards in relation to the connection unit by means of an actuating unit so as to bring the first coupling part into contact with the second coupling part.