A MAN who bashed a Korean woman to death near Brisbane's CBD in 2013 has been found guilty of murder.

Alex Reuben McEwan admitted killing Eunji Ban in November 2013 but pleaded not guilty to murder on mental health grounds.

On Thursday, members of her family hugged and cried after a Brisbane Supreme Court jury found McEwan guilty, rejecting his defence that his schizophrenia left him unable to control his actions.

McEwan claimed he was possessed by a demon when he attacked Ms Ban near her Roma Street Parklands unit in the early hours of the morning.

He dragged her body up stairs to the nearby Wickham Park and dumped it by a tree.

McEwan, who was diagnosed with schizophrenia after his arrest, told the court he tried but could not prevent himself from attacking Ms Ban.

However, three psychiatrists gave evidence during the trial that they did not believe McEwan was suffering the effects of schizophrenia at the time of the killing.

McEwan will be sentenced today.