That is called an IDC (insulation displacement connector). The proper tooling is called a "punch-down tool".
You need a tool with the proper sized blade for the connector, which differs between manufacturers. You will need to identify the model of connector to find it.
For example, for Amplimite HDE connectors you can use the TE 91287-1 tool, which is a very basic manual tool. Other types of tool may have spring assist, wire cutters, or levers or automatically index the connector as you insert wires.