The information provided here is not a replacement for a doctor. You shouldn't use it for the purpose of self-diagnosing or self-medicating but rather so you can have a more informed discussion with a professional TCM practitioner.
In Chinese Medicine weak pulse can be treated by two herbs that we have on record. Here is the list below.
The two Chinese Medicinal herbs most likely to help treat weak pulse
Why might Ginseng (Ren Shen) help with weak pulse?
Because it is a herb specifically indicated to treat weak pulse as can be seen on Ginseng's page.
Ginseng is a Warm herb that tastes Bitter and Sweet. It targets the Spleen, the Heart and the Lung.
Its main actions are: Very strongly tonifies the Qi. Tonifies the Lungs and Spleen. Assists the body in the secretion of Fluids and stops thirst. Strengthens the Heart and calms the Shen (mind/spirit).
Why might Prepared Aconite (Zhi Fu Zi) help with weak pulse?
Because it is a herb specifically indicated to treat weak pulse as can be seen on Prepared Aconite's page.
Prepared Aconite is a Hot herb that tastes Pungent and Sweet. It targets the Spleen, the Heart and the Kidney.
Its main actions are: Raises the collapse of Yang. Warms the meridians and relieves pain caused by Cold. Reduces Damp caused by Deficiency in Yang.
Other symptoms often associated with weak pulse
Impotence Fatigue Dyspnea Loss of appetite Palpitations Insomnia Dehydration Restlessness Wheezing Arthralgia