Question: I would like to automatically create a vector of points. 

The vector should be composed of one point per each line of a line vector (approx 3000 features). Those points should be placed near each line but not along them.
The best result would happen if points were created in a direction perpendicular to each line, 1 meter far from each line.

In order to have an example, the following image shows the desired result:
[![Example: points with green signs are okay, the point with red cross is not okay. ](https://i.stack.imgur.com/Ur4wW.png)](https://i.stack.imgur.com/Ur4wW.png)

Answer: 
QGIS 3.0/3.2 - **Geometry by expression** tool in 
`Processing Toolbox | Vector geometry`

Select your line layer as input, point as output geometry type, and apply:

```
centroid(offset_curve($geometry, 1))

```
The method provided by Kazuhito is far more elegant, but in case you don't have access to QGIS 3.0/3.2, here are two methods for 2.18:

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Create a 2 meter single-sided buffer with OGR > `Single sided buffers (and offset lines) for lines` tool (Processing Toolbox)

Use `Polygon Centroids` tool (Processing Toolbox) to create centroids of buffers.

---

Create a point on line layer using one of these tools from the Processing Toolbox:

* QGIS > `Random points along line`
* OGR > `Create points along lines`
* GRASS > `V.to.points`

Select all features in point layer, use `Move Feature(s)` tool (editing toolbar) to move them. 

---

Check the results of either method by using `Spatial Query` to select features of the points layer that intersect features in the lines layer.

Use the `Move Feature(s)` tool to move them away from the lines they intersect.