It depends on the complete specs of your video.

But the first thing to do is output your video from PowerDirector as a 1920x1080 MP4 and then play that video and see if you're seeing the stuttering in this final output. It could be that your problem is merely an issue with the preview.

If you are seeing the problem in your final, open your GoPro footage in the free download MediaInfo. In MediaInfo, set View to Text and then paste the complete text of this report to this forum. With this report we can better advise you of issues related to codec, frame rate, variable frame rate, etc.

Quote when I upload footage from my go pro which has a pan side to side, the video is jumpy, but the original is smooth? even when i produce the final cut, it jumps, is there a setting i should be using?

Has your final cut the same framerate as the original gopro footage?

Hi Steven, this is what i have? if it helps??

General
Complete name : E:\Videos\Lakes 2020\GH011186.MP4
Format : MPEG-4
Format profile : Base Media / Version 1
Codec ID : mp41 (mp41)
File size : 131 MiB
Duration : 18 s 112 ms
Overall bit rate mode : Variable
Overall bit rate : 60.6 Mb/s
Encoded date : UTC 2016-01-02 00:15:53
Tagged date : UTC 2016-01-02 00:15:53
Video
ID : 1
Format : AVC
Format/Info : Advanced Video Codec
Format profile : High@L5.1
Format settings : CABAC / 2 Ref Frames
Format settings, CABAC : Yes
Format settings, Reference frames : 2 frames
Format settings, GOP : M=1, N=30
Codec ID : avc1
Codec ID/Info : Advanced Video Coding
Duration : 18 s 101 ms
Bit rate mode : Variable
Bit rate : 60.0 Mb/s
Width : 2 704 pixels
Height : 1 520 pixels
Display aspect ratio : 16:9
Frame rate mode : Constant
Frame rate : 59.940 (60000/1001) FPS
Color space : YUV
Chroma subsampling : 4:2:0
Bit depth : 8 bits
Scan type : Progressive
Bits/(Pixel*Frame) : 0.244
Stream size : 130 MiB (100%)
Title : GoPro AVC
Language : English
Encoded date : UTC 2016-01-02 00:15:53
Tagged date : UTC 2016-01-02 00:15:53
Color range : Limited
colour_range_Original : Full
Color primaries : BT.709
Transfer characteristics : BT.709
Matrix coefficients : BT.709
Codec configuration box : avcC
Audio
ID : 2
Format : AAC LC
Format/Info : Advanced Audio Codec Low Complexity
Codec ID : mp4a-40-2
Duration : 18 s 112 ms
Bit rate mode : Constant
Bit rate : 192 kb/s
Nominal bit rate : 48.0 kb/s
Channel(s) : 2 channels
Channel layout : L R
Sampling rate : 48.0 kHz
Frame rate : 46.875 FPS (1024 SPF)
Compression mode : Lossy
Stream size : 419 KiB (0%)
Title : GoPro AAC
Language : English
Encoded date : UTC 2016-01-02 00:15:53
Tagged date : UTC 2016-01-02 00:15:53
Other #1
ID : 3
Type : Time code
Format : QuickTime TC
Duration : 18 s 101 ms
Bit rate mode : Constant
Frame rate : 59.940 (60000/1001) FPS
Time code of first frame : 00:16:08:32
Time code, striped : Yes
Title : GoPro TCD
Language : English
Encoded date : UTC 2016-01-02 00:15:53
Tagged date : UTC 2016-01-02 00:15:53
Other #2
Type : meta
Duration : 18 s 18 ms
Bit rate mode : Variable
Other #3
Type : meta
Bit rate mode : Variable
mdhd_Duration : 18101

The framerate is 59.94 fps. As with the previous suggestions, produce it as a NTSC h.264 avc MP4 1020 x 1080 /60p clip on a 59.94 fps timeline as a test to see if the panning is as smooth as the original.