Is Freudian Psychology a scientifically valid contribution to the Cognitive Sciences? Freudian Psychology is based on the work of Sigmund Freud (1856-1939). He is the founder of Psychoanalysis and is credited with establishing the field of verbal psychotherapy. Freud is known for his theories of the unconscious mind, dreams, infantile sexuality, libido, repression, and transference, ego, and the superego. 

However, despite his acclaimed influence on psychology and psychotherapy, it seems that Freudian Psychology is criticized by many (Horgan, 2017) and is even considered to be pseudoscience. 

Is Freudian Psychology considered to be a scientifically valid approach? 


Sigmund Freud. source: Wikipedia  



Related:
• What are the different branches of Psychoanalysis?
• Is there anything in Freudian psychoanalytic theory that is scientifically sound?
• Which schools of psychotherapy are most credible to a hard scientist?
Short answer
Freudian Psychology is considered by many to be pseudoscience, but as pointed out in another answer, there have recently been increasing numbers of comparisons between psychoanalysis and other depth psychology schools (e.g. a long-term study of CBT vs psychoanalysis for depression, where CBT is not much effective) with results which show that

psychoanalysis is just as effective as CBT for many disorders,
it is more effective for certain disorders, and
it is less effective for others.

In other words, psychoanalysis and CBT are both appropriate for certain patients and disorders and that the decision between them has to be made case by case.
Background
Freudian psychology is still applied, and Freudian psychoanalysis is still actively used today and according to the Science Council, Science is...

...the pursuit and application of knowledge and understanding of the natural and social world following a systematic methodology based on evidence.

It is in the scientific evidence where the support of the Freudian approach is limited. However, Freud's ideas have never been extensively assessed scientifically. For instance, there is no unambiguous evidence that psychoanalysis works (Horgan, 1996) and supporters of Freud’s theories are believed to be influenced mainly on the confirming evidence, while they largely ignore the disconfirming cases (Shermer, 2011). Indeed, Sulloway (Dufresne, 2007) argues that...

The greatest failing of psychoanalysis is its blatant rejection of the
scientific method. Without such methods for critical thinking, a
discipline inevitably drifts from one pseudoscientific system of
belief to another.

It should be stressed, however, that the human psyche is extremely complex and largely not understood. Other theories that are generally regarded as valid science, such as the string theory in astrophysics have never been proven either, and the relativity theory of Einstein took about hundred years to be proven right.
Indeed, distinguishing between science and pseudoscience is problematic (Shermer, 2011). As covered in this answer to Does suppressing a desire make it more powerful?, Freud's work is derived from empirical evidence and backed up with high profile journal articles. Nonetheless, in the gray area between science and pseudoscience, according to eminent critics such as Karl Popper, Frank Cioffi, and Adolf Grünbaum, the theories of Freud are generally placed in the area of pseudoscience as they are seen as non-falisifiable.
Many authors assume that to be pseudoscientific, an activity or a teaching has to satisfy the following two criteria (Hansson 1996):

it is not scientific, and
its major proponents try to create the impression that it is scientific.&quot; (Hansson, 2008)

With regard to Hansson's first point, a PsychologyToday article (2016) points out that

psychology was defined by the application of scientific method(s) and psychologists conduct valuable research and have developed some key insights into animal behavior, cognition, consciousness, and the human condition.

Hansson, has since updated his definition of pseudoscience to an &quot;improved version&quot; (Hansson, 2013)
References

Dufresne, T. (2007) Psychoanalysis and Pseudoscience: Frank J. Sulloway Revisits Freud and His Legacy, Dufrense, T (Ed.) Against Freud: Critics Talk Back Stanford: Stanford University Press
Hansson, S. O. (1996). Defining Pseudoscience. Philosophia Naturalis, 33(1): pp. 169—176Still to find DOI/PMID reference
Hansson, S. O. (2008) Science and Pseudo-Science. The Stanford Encyclopedia of Philosophy (Summer 2017 Edition) [Online]
Hansson, S. O. (2013). Defining pseudoscience and science. In: Pigliucci, M. &amp; Boudry, M. (Eds.) The philosophy of pseudoscience, Chicago IL: University of Chicago Press. pp. 61-77.
Horgan, J. (1996). Why Freud isn’t dead. Scientific American, 275(6), 106-111. or here
PsychologyToday (2016) The “Is Psychology a Science?” Debate [Online]
Shermer, M. (2011). What is pseudoscience?. Scientific American, 305(3), 92-92. or here

Supporting network posts

Is there anything in Freudian psychoanalytic theory that is scientifically sound?
Why did Karl Popper criticize Freud&#39;s theories?

Note
The community is invited to improve this answer. This question-and-answer is discussed here in meta.