What type of movement is seen in the closure of a venus flytrap when an insect lands on it?

The closure of a Venus flytrap is an example of nastic movement seen in plants. Nastic movements are growth-independent movements which mainly occur due to changes in turgor pressure. 

When a fly sits on the leaf, there are touch-sensitive hair that trigger an electrical potential. This causes several changes which result in the movement of ions inside the cells of the leaf. The inflow of water in the cells follows which results in their becoming turgid. This causes the shutting of the trap.

Hence, the correct option is nastic movements.